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Finding the Third Proportional to 152,307,349 and 232,032,139.50

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Solution

The third proportional to 152,307,349 and 232,032,139.50 is: 353,488,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,349 : 232,032,139.50 = 232,032,139.50 : x
  2. Step 2: Convert to fraction form
    152,307,349/232,032,139.50 = 232,032,139.50/x
  3. Step 3: Cross multiply
    152,307,349x = 232,032,139.50 × 232,032,139.50
  4. Step 4: Simplify right side
    152,307,349x = 53,838,913,760,947,464
  5. Step 5: Solve for x
    x = 53,838,913,760,947,464/152,307,349
  6. Step 6: Final answer
    x = 353,488,614.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.