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Finding the Third Proportional to 126,459,249 and 189,688,862

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Solution

The third proportional to 126,459,249 and 189,688,862 is: 284,533,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,459,249 : 189,688,862 = 189,688,862 : x
  2. Step 2: Convert to fraction form
    126,459,249/189,688,862 = 189,688,862/x
  3. Step 3: Cross multiply
    126,459,249x = 189,688,862 × 189,688,862
  4. Step 4: Simplify right side
    126,459,249x = 35,981,864,366,855,044
  5. Step 5: Solve for x
    x = 35,981,864,366,855,044/126,459,249
  6. Step 6: Final answer
    x = 284,533,275.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.