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Finding the Third Proportional to 186,887,263.13 and 290,125,936.13

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Solution

The third proportional to 186,887,263.13 and 290,125,936.13 is: 450,394,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,887,263.13 : 290,125,936.13 = 290,125,936.13 : x
  2. Step 2: Convert to fraction form
    186,887,263.13/290,125,936.13 = 290,125,936.13/x
  3. Step 3: Cross multiply
    186,887,263.13x = 290,125,936.13 × 290,125,936.13
  4. Step 4: Simplify right side
    186,887,263.13x = 84,173,058,812,407,584
  5. Step 5: Solve for x
    x = 84,173,058,812,407,584/186,887,263.13
  6. Step 6: Final answer
    x = 450,394,839.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.