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Finding the Third Proportional to 138,105,554.34 and 299,197,982.25

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Solution

The third proportional to 138,105,554.34 and 299,197,982.25 is: 648,195,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,105,554.34 : 299,197,982.25 = 299,197,982.25 : x
  2. Step 2: Convert to fraction form
    138,105,554.34/299,197,982.25 = 299,197,982.25/x
  3. Step 3: Cross multiply
    138,105,554.34x = 299,197,982.25 × 299,197,982.25
  4. Step 4: Simplify right side
    138,105,554.34x = 89,519,432,582,471,312
  5. Step 5: Solve for x
    x = 89,519,432,582,471,312/138,105,554.34
  6. Step 6: Final answer
    x = 648,195,744.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.