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Finding the Third Proportional to 153,572,465.25 and 217,300,304.25

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Solution

The third proportional to 153,572,465.25 and 217,300,304.25 is: 307,473,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,572,465.25 : 217,300,304.25 = 217,300,304.25 : x
  2. Step 2: Convert to fraction form
    153,572,465.25/217,300,304.25 = 217,300,304.25/x
  3. Step 3: Cross multiply
    153,572,465.25x = 217,300,304.25 × 217,300,304.25
  4. Step 4: Simplify right side
    153,572,465.25x = 47,219,422,227,142,568
  5. Step 5: Solve for x
    x = 47,219,422,227,142,568/153,572,465.25
  6. Step 6: Final answer
    x = 307,473,231.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.