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Finding the Third Proportional to 152,307,225 and 232,031,964

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Solution

The third proportional to 152,307,225 and 232,031,964 is: 353,488,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,225 : 232,031,964 = 232,031,964 : x
  2. Step 2: Convert to fraction form
    152,307,225/232,031,964 = 232,031,964/x
  3. Step 3: Cross multiply
    152,307,225x = 232,031,964 × 232,031,964
  4. Step 4: Simplify right side
    152,307,225x = 53,838,832,317,697,296
  5. Step 5: Solve for x
    x = 53,838,832,317,697,296/152,307,225
  6. Step 6: Final answer
    x = 353,488,367.46

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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.