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Finding the Third Proportional to 83,608,717.50 and 115,532,046

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Solution

The third proportional to 83,608,717.50 and 115,532,046 is: 159,644,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608,717.50 : 115,532,046 = 115,532,046 : x
  2. Step 2: Convert to fraction form
    83,608,717.50/115,532,046 = 115,532,046/x
  3. Step 3: Cross multiply
    83,608,717.50x = 115,532,046 × 115,532,046
  4. Step 4: Simplify right side
    83,608,717.50x = 13,347,653,652,946,116
  5. Step 5: Solve for x
    x = 13,347,653,652,946,116/83,608,717.50
  6. Step 6: Final answer
    x = 159,644,281.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.