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Finding the Third Proportional to 153,920,526 and 231,083,433

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Solution

The third proportional to 153,920,526 and 231,083,433 is: 346,929,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920,526 : 231,083,433 = 231,083,433 : x
  2. Step 2: Convert to fraction form
    153,920,526/231,083,433 = 231,083,433/x
  3. Step 3: Cross multiply
    153,920,526x = 231,083,433 × 231,083,433
  4. Step 4: Simplify right side
    153,920,526x = 53,399,553,007,065,488
  5. Step 5: Solve for x
    x = 53,399,553,007,065,488/153,920,526
  6. Step 6: Final answer
    x = 346,929,382.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.