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Finding the Third Proportional to 137,158,632 and 293,406,912

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Solution

The third proportional to 137,158,632 and 293,406,912 is: 627,650,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158,632 : 293,406,912 = 293,406,912 : x
  2. Step 2: Convert to fraction form
    137,158,632/293,406,912 = 293,406,912/x
  3. Step 3: Cross multiply
    137,158,632x = 293,406,912 × 293,406,912
  4. Step 4: Simplify right side
    137,158,632x = 86,087,616,009,375,744
  5. Step 5: Solve for x
    x = 86,087,616,009,375,744/137,158,632
  6. Step 6: Final answer
    x = 627,650,004.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.