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Finding the Third Proportional to 69,851,142 and 146,941,488

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Solution

The third proportional to 69,851,142 and 146,941,488 is: 309,111,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,851,142 : 146,941,488 = 146,941,488 : x
  2. Step 2: Convert to fraction form
    69,851,142/146,941,488 = 146,941,488/x
  3. Step 3: Cross multiply
    69,851,142x = 146,941,488 × 146,941,488
  4. Step 4: Simplify right side
    69,851,142x = 21,591,800,895,654,144
  5. Step 5: Solve for x
    x = 21,591,800,895,654,144/69,851,142
  6. Step 6: Final answer
    x = 309,111,637.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.