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Finding the Third Proportional to 230,542,182 and 497,894,084

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Solution

The third proportional to 230,542,182 and 497,894,084 is: 1,075,284,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,542,182 : 497,894,084 = 497,894,084 : x
  2. Step 2: Convert to fraction form
    230,542,182/497,894,084 = 497,894,084/x
  3. Step 3: Cross multiply
    230,542,182x = 497,894,084 × 497,894,084
  4. Step 4: Simplify right side
    230,542,182x = 247,898,518,882,199,040
  5. Step 5: Solve for x
    x = 247,898,518,882,199,040/230,542,182
  6. Step 6: Final answer
    x = 1,075,284,864.28

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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.