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Finding the Third Proportional to 140,516,939 and 304,490,967

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Solution

The third proportional to 140,516,939 and 304,490,967 is: 659,811,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,516,939 : 304,490,967 = 304,490,967 : x
  2. Step 2: Convert to fraction form
    140,516,939/304,490,967 = 304,490,967/x
  3. Step 3: Cross multiply
    140,516,939x = 304,490,967 × 304,490,967
  4. Step 4: Simplify right side
    140,516,939x = 92,714,748,984,595,088
  5. Step 5: Solve for x
    x = 92,714,748,984,595,088/140,516,939
  6. Step 6: Final answer
    x = 659,811,903.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.