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Finding the Third Proportional to 81,724,284 and 121,877,730

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Solution

The third proportional to 81,724,284 and 121,877,730 is: 181,759,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,724,284 : 121,877,730 = 121,877,730 : x
  2. Step 2: Convert to fraction form
    81,724,284/121,877,730 = 121,877,730/x
  3. Step 3: Cross multiply
    81,724,284x = 121,877,730 × 121,877,730
  4. Step 4: Simplify right side
    81,724,284x = 14,854,181,069,952,900
  5. Step 5: Solve for x
    x = 14,854,181,069,952,900/81,724,284
  6. Step 6: Final answer
    x = 181,759,696.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.