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Finding the Third Proportional to 152,307,224 and 232,031,963

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Solution

The third proportional to 152,307,224 and 232,031,963 is: 353,488,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,224 : 232,031,963 = 232,031,963 : x
  2. Step 2: Convert to fraction form
    152,307,224/232,031,963 = 232,031,963/x
  3. Step 3: Cross multiply
    152,307,224x = 232,031,963 × 232,031,963
  4. Step 4: Simplify right side
    152,307,224x = 53,838,831,853,633,368
  5. Step 5: Solve for x
    x = 53,838,831,853,633,368/152,307,224
  6. Step 6: Final answer
    x = 353,488,366.73

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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.