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Finding the Third Proportional to 100,871,748 and 159,752,358

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Solution

The third proportional to 100,871,748 and 159,752,358 is: 253,002,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,871,748 : 159,752,358 = 159,752,358 : x
  2. Step 2: Convert to fraction form
    100,871,748/159,752,358 = 159,752,358/x
  3. Step 3: Cross multiply
    100,871,748x = 159,752,358 × 159,752,358
  4. Step 4: Simplify right side
    100,871,748x = 25,520,815,886,560,164
  5. Step 5: Solve for x
    x = 25,520,815,886,560,164/100,871,748
  6. Step 6: Final answer
    x = 253,002,613.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.