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Finding the Third Proportional to 115,038,505.50 and 161,809,341.75

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Solution

The third proportional to 115,038,505.50 and 161,809,341.75 is: 227,595,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,038,505.50 : 161,809,341.75 = 161,809,341.75 : x
  2. Step 2: Convert to fraction form
    115,038,505.50/161,809,341.75 = 161,809,341.75/x
  3. Step 3: Cross multiply
    115,038,505.50x = 161,809,341.75 × 161,809,341.75
  4. Step 4: Simplify right side
    115,038,505.50x = 26,182,263,077,568,292
  5. Step 5: Solve for x
    x = 26,182,263,077,568,292/115,038,505.50
  6. Step 6: Final answer
    x = 227,595,646.90

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Why These Related Problems?

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