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Finding the Third Proportional to 97,514,704 and 203,100,688

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Solution

The third proportional to 97,514,704 and 203,100,688 is: 423,011,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,514,704 : 203,100,688 = 203,100,688 : x
  2. Step 2: Convert to fraction form
    97,514,704/203,100,688 = 203,100,688/x
  3. Step 3: Cross multiply
    97,514,704x = 203,100,688 × 203,100,688
  4. Step 4: Simplify right side
    97,514,704x = 41,249,889,466,073,344
  5. Step 5: Solve for x
    x = 41,249,889,466,073,344/97,514,704
  6. Step 6: Final answer
    x = 423,011,994.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.