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Finding the Third Proportional to 191,038,049.44 and 409,320,765.28

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Solution

The third proportional to 191,038,049.44 and 409,320,765.28 is: 877,016,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,038,049.44 : 409,320,765.28 = 409,320,765.28 : x
  2. Step 2: Convert to fraction form
    191,038,049.44/409,320,765.28 = 409,320,765.28/x
  3. Step 3: Cross multiply
    191,038,049.44x = 409,320,765.28 × 409,320,765.28
  4. Step 4: Simplify right side
    191,038,049.44x = 167,543,488,890,428,160
  5. Step 5: Solve for x
    x = 167,543,488,890,428,160/191,038,049.44
  6. Step 6: Final answer
    x = 877,016,329.38

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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.