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Finding the Third Proportional to 83,547,774 and 127,723,554

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Solution

The third proportional to 83,547,774 and 127,723,554 is: 195,257,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547,774 : 127,723,554 = 127,723,554 : x
  2. Step 2: Convert to fraction form
    83,547,774/127,723,554 = 127,723,554/x
  3. Step 3: Cross multiply
    83,547,774x = 127,723,554 × 127,723,554
  4. Step 4: Simplify right side
    83,547,774x = 16,313,306,246,390,916
  5. Step 5: Solve for x
    x = 16,313,306,246,390,916/83,547,774
  6. Step 6: Final answer
    x = 195,257,221.89

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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.