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Finding the Third Proportional to 152,307,233 and 232,031,976

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Solution

The third proportional to 152,307,233 and 232,031,976 is: 353,488,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,233 : 232,031,976 = 232,031,976 : x
  2. Step 2: Convert to fraction form
    152,307,233/232,031,976 = 232,031,976/x
  3. Step 3: Cross multiply
    152,307,233x = 232,031,976 × 232,031,976
  4. Step 4: Simplify right side
    152,307,233x = 53,838,837,886,464,576
  5. Step 5: Solve for x
    x = 53,838,837,886,464,576/152,307,233
  6. Step 6: Final answer
    x = 353,488,385.46

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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.