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Finding the Third Proportional to 230,542,159.50 and 497,894,040

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Solution

The third proportional to 230,542,159.50 and 497,894,040 is: 1,075,284,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,542,159.50 : 497,894,040 = 497,894,040 : x
  2. Step 2: Convert to fraction form
    230,542,159.50/497,894,040 = 497,894,040/x
  3. Step 3: Cross multiply
    230,542,159.50x = 497,894,040 × 497,894,040
  4. Step 4: Simplify right side
    230,542,159.50x = 247,898,475,067,521,600
  5. Step 5: Solve for x
    x = 247,898,475,067,521,600/230,542,159.50
  6. Step 6: Final answer
    x = 1,075,284,779.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.