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Finding the Third Proportional to 143,047,677 and 308,963,712

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Solution

The third proportional to 143,047,677 and 308,963,712 is: 667,319,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,047,677 : 308,963,712 = 308,963,712 : x
  2. Step 2: Convert to fraction form
    143,047,677/308,963,712 = 308,963,712/x
  3. Step 3: Cross multiply
    143,047,677x = 308,963,712 × 308,963,712
  4. Step 4: Simplify right side
    143,047,677x = 95,458,575,332,818,944
  5. Step 5: Solve for x
    x = 95,458,575,332,818,944/143,047,677
  6. Step 6: Final answer
    x = 667,319,996.62

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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.