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Finding the Third Proportional to 169,210,412,821 and 255,991,896,991.50

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Solution

The third proportional to 169,210,412,821 and 255,991,896,991.50 is: 387,280,252,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,210,412,821 : 255,991,896,991.50 = 255,991,896,991.50 : x
  2. Step 2: Convert to fraction form
    169,210,412,821/255,991,896,991.50 = 255,991,896,991.50/x
  3. Step 3: Cross multiply
    169,210,412,821x = 255,991,896,991.50 × 255,991,896,991.50
  4. Step 4: Simplify right side
    169,210,412,821x = 65,531,851,325,306,746,961,920
  5. Step 5: Solve for x
    x = 65,531,851,325,306,746,961,920/169,210,412,821
  6. Step 6: Final answer
    x = 387,280,252,041.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.