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Finding the Third Proportional to 182,516,530.50 and 278,371,872

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Solution

The third proportional to 182,516,530.50 and 278,371,872 is: 424,569,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,516,530.50 : 278,371,872 = 278,371,872 : x
  2. Step 2: Convert to fraction form
    182,516,530.50/278,371,872 = 278,371,872/x
  3. Step 3: Cross multiply
    182,516,530.50x = 278,371,872 × 278,371,872
  4. Step 4: Simplify right side
    182,516,530.50x = 77,490,899,120,784,384
  5. Step 5: Solve for x
    x = 77,490,899,120,784,384/182,516,530.50
  6. Step 6: Final answer
    x = 424,569,209.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.