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Finding the Third Proportional to 242,908,037.25 and 524,522,373.75

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Solution

The third proportional to 242,908,037.25 and 524,522,373.75 is: 1,132,625,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908,037.25 : 524,522,373.75 = 524,522,373.75 : x
  2. Step 2: Convert to fraction form
    242,908,037.25/524,522,373.75 = 524,522,373.75/x
  3. Step 3: Cross multiply
    242,908,037.25x = 524,522,373.75 × 524,522,373.75
  4. Step 4: Simplify right side
    242,908,037.25x = 275,123,720,564,334,688
  5. Step 5: Solve for x
    x = 275,123,720,564,334,688/242,908,037.25
  6. Step 6: Final answer
    x = 1,132,625,020.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.