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Finding the Third Proportional to 152,307,219 and 232,031,956.50

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Solution

The third proportional to 152,307,219 and 232,031,956.50 is: 353,488,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,219 : 232,031,956.50 = 232,031,956.50 : x
  2. Step 2: Convert to fraction form
    152,307,219/232,031,956.50 = 232,031,956.50/x
  3. Step 3: Cross multiply
    152,307,219x = 232,031,956.50 × 232,031,956.50
  4. Step 4: Simplify right side
    152,307,219x = 53,838,828,837,217,896
  5. Step 5: Solve for x
    x = 53,838,828,837,217,896/152,307,219
  6. Step 6: Final answer
    x = 353,488,358.53

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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.