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Finding the Third Proportional to 145,346,234 and 318,941,948

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Solution

The third proportional to 145,346,234 and 318,941,948 is: 699,873,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,346,234 : 318,941,948 = 318,941,948 : x
  2. Step 2: Convert to fraction form
    145,346,234/318,941,948 = 318,941,948/x
  3. Step 3: Cross multiply
    145,346,234x = 318,941,948 × 318,941,948
  4. Step 4: Simplify right side
    145,346,234x = 101,723,966,194,034,704
  5. Step 5: Solve for x
    x = 101,723,966,194,034,704/145,346,234
  6. Step 6: Final answer
    x = 699,873,422.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.