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Finding the Third Proportional to 96,709,494 and 148,827,132

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Solution

The third proportional to 96,709,494 and 148,827,132 is: 229,031,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,709,494 : 148,827,132 = 148,827,132 : x
  2. Step 2: Convert to fraction form
    96,709,494/148,827,132 = 148,827,132/x
  3. Step 3: Cross multiply
    96,709,494x = 148,827,132 × 148,827,132
  4. Step 4: Simplify right side
    96,709,494x = 22,149,515,219,345,424
  5. Step 5: Solve for x
    x = 22,149,515,219,345,424/96,709,494
  6. Step 6: Final answer
    x = 229,031,445.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.