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Finding the Third Proportional to 152,307,263 and 232,032,023

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Solution

The third proportional to 152,307,263 and 232,032,023 is: 353,488,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,263 : 232,032,023 = 232,032,023 : x
  2. Step 2: Convert to fraction form
    152,307,263/232,032,023 = 232,032,023/x
  3. Step 3: Cross multiply
    152,307,263x = 232,032,023 × 232,032,023
  4. Step 4: Simplify right side
    152,307,263x = 53,838,859,697,472,528
  5. Step 5: Solve for x
    x = 53,838,859,697,472,528/152,307,263
  6. Step 6: Final answer
    x = 353,488,459.03

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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.