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Finding the Third Proportional to 145,879,732 and 230,996,862

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Solution

The third proportional to 145,879,732 and 230,996,862 is: 365,777,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879,732 : 230,996,862 = 230,996,862 : x
  2. Step 2: Convert to fraction form
    145,879,732/230,996,862 = 230,996,862/x
  3. Step 3: Cross multiply
    145,879,732x = 230,996,862 × 230,996,862
  4. Step 4: Simplify right side
    145,879,732x = 53,359,550,253,847,040
  5. Step 5: Solve for x
    x = 53,359,550,253,847,040/145,879,732
  6. Step 6: Final answer
    x = 365,777,682.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.