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Finding the Third Proportional to 195,685,024.50 and 419,381,752.50

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Solution

The third proportional to 195,685,024.50 and 419,381,752.50 is: 898,796,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,685,024.50 : 419,381,752.50 = 419,381,752.50 : x
  2. Step 2: Convert to fraction form
    195,685,024.50/419,381,752.50 = 419,381,752.50/x
  3. Step 3: Cross multiply
    195,685,024.50x = 419,381,752.50 × 419,381,752.50
  4. Step 4: Simplify right side
    195,685,024.50x = 175,881,054,329,971,264
  5. Step 5: Solve for x
    x = 175,881,054,329,971,264/195,685,024.50
  6. Step 6: Final answer
    x = 898,796,700.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.