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Finding the Third Proportional to 83,814,957 and 125,206,240.50

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Solution

The third proportional to 83,814,957 and 125,206,240.50 is: 187,038,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814,957 : 125,206,240.50 = 125,206,240.50 : x
  2. Step 2: Convert to fraction form
    83,814,957/125,206,240.50 = 125,206,240.50/x
  3. Step 3: Cross multiply
    83,814,957x = 125,206,240.50 × 125,206,240.50
  4. Step 4: Simplify right side
    83,814,957x = 15,676,602,660,143,840
  5. Step 5: Solve for x
    x = 15,676,602,660,143,840/83,814,957
  6. Step 6: Final answer
    x = 187,038,247.36

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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.