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Finding the Third Proportional to 100,418,022 and 152,142,726.94

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Solution

The third proportional to 100,418,022 and 152,142,726.94 is: 230,510,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418,022 : 152,142,726.94 = 152,142,726.94 : x
  2. Step 2: Convert to fraction form
    100,418,022/152,142,726.94 = 152,142,726.94/x
  3. Step 3: Cross multiply
    100,418,022x = 152,142,726.94 × 152,142,726.94
  4. Step 4: Simplify right side
    100,418,022x = 23,147,409,359,978,688
  5. Step 5: Solve for x
    x = 23,147,409,359,978,688/100,418,022
  6. Step 6: Final answer
    x = 230,510,508.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.