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Finding the Third Proportional to 82,263,721.50 and 127,788,374.25

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Solution

The third proportional to 82,263,721.50 and 127,788,374.25 is: 198,506,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263,721.50 : 127,788,374.25 = 127,788,374.25 : x
  2. Step 2: Convert to fraction form
    82,263,721.50/127,788,374.25 = 127,788,374.25/x
  3. Step 3: Cross multiply
    82,263,721.50x = 127,788,374.25 × 127,788,374.25
  4. Step 4: Simplify right side
    82,263,721.50x = 16,329,868,593,458,064
  5. Step 5: Solve for x
    x = 16,329,868,593,458,064/82,263,721.50
  6. Step 6: Final answer
    x = 198,506,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.