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Finding the Third Proportional to 55,755,110 and 119,581,264

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Solution

The third proportional to 55,755,110 and 119,581,264 is: 256,472,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755,110 : 119,581,264 = 119,581,264 : x
  2. Step 2: Convert to fraction form
    55,755,110/119,581,264 = 119,581,264/x
  3. Step 3: Cross multiply
    55,755,110x = 119,581,264 × 119,581,264
  4. Step 4: Simplify right side
    55,755,110x = 14,299,678,699,837,696
  5. Step 5: Solve for x
    x = 14,299,678,699,837,696/55,755,110
  6. Step 6: Final answer
    x = 256,472,970.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.