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Finding the Third Proportional to 230,913,168 and 497,920,080

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Solution

The third proportional to 230,913,168 and 497,920,080 is: 1,073,669,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,913,168 : 497,920,080 = 497,920,080 : x
  2. Step 2: Convert to fraction form
    230,913,168/497,920,080 = 497,920,080/x
  3. Step 3: Cross multiply
    230,913,168x = 497,920,080 × 497,920,080
  4. Step 4: Simplify right side
    230,913,168x = 247,924,406,067,206,400
  5. Step 5: Solve for x
    x = 247,924,406,067,206,400/230,913,168
  6. Step 6: Final answer
    x = 1,073,669,415.28

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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.