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Finding the Third Proportional to 177,573,578,944.50 and 256,563,156,624

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Solution

The third proportional to 177,573,578,944.50 and 256,563,156,624 is: 370,689,455,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,573,578,944.50 : 256,563,156,624 = 256,563,156,624 : x
  2. Step 2: Convert to fraction form
    177,573,578,944.50/256,563,156,624 = 256,563,156,624/x
  3. Step 3: Cross multiply
    177,573,578,944.50x = 256,563,156,624 × 256,563,156,624
  4. Step 4: Simplify right side
    177,573,578,944.50x = 65,824,653,336,871,157,366,784
  5. Step 5: Solve for x
    x = 65,824,653,336,871,157,366,784/177,573,578,944.50
  6. Step 6: Final answer
    x = 370,689,455,763.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.