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Finding the Third Proportional to 83,104,998 and 124,192,368

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Solution

The third proportional to 83,104,998 and 124,192,368 is: 185,593,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104,998 : 124,192,368 = 124,192,368 : x
  2. Step 2: Convert to fraction form
    83,104,998/124,192,368 = 124,192,368/x
  3. Step 3: Cross multiply
    83,104,998x = 124,192,368 × 124,192,368
  4. Step 4: Simplify right side
    83,104,998x = 15,423,744,269,447,424
  5. Step 5: Solve for x
    x = 15,423,744,269,447,424/83,104,998
  6. Step 6: Final answer
    x = 185,593,461.77

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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.