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Finding the Third Proportional to 99,535,262 and 142,335,597

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Solution

The third proportional to 99,535,262 and 142,335,597 is: 203,540,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535,262 : 142,335,597 = 142,335,597 : x
  2. Step 2: Convert to fraction form
    99,535,262/142,335,597 = 142,335,597/x
  3. Step 3: Cross multiply
    99,535,262x = 142,335,597 × 142,335,597
  4. Step 4: Simplify right side
    99,535,262x = 20,259,422,173,346,408
  5. Step 5: Solve for x
    x = 20,259,422,173,346,408/99,535,262
  6. Step 6: Final answer
    x = 203,540,150.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.