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Finding the Third Proportional to 152,307,240 and 232,031,991

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Solution

The third proportional to 152,307,240 and 232,031,991 is: 353,488,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,240 : 232,031,991 = 232,031,991 : x
  2. Step 2: Convert to fraction form
    152,307,240/232,031,991 = 232,031,991/x
  3. Step 3: Cross multiply
    152,307,240x = 232,031,991 × 232,031,991
  4. Step 4: Simplify right side
    152,307,240x = 53,838,844,847,424,080
  5. Step 5: Solve for x
    x = 53,838,844,847,424,080/152,307,240
  6. Step 6: Final answer
    x = 353,488,414.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.