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Finding the Third Proportional to 127,664,132.50 and 202,184,081.50

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Solution

The third proportional to 127,664,132.50 and 202,184,081.50 is: 320,202,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,664,132.50 : 202,184,081.50 = 202,184,081.50 : x
  2. Step 2: Convert to fraction form
    127,664,132.50/202,184,081.50 = 202,184,081.50/x
  3. Step 3: Cross multiply
    127,664,132.50x = 202,184,081.50 × 202,184,081.50
  4. Step 4: Simplify right side
    127,664,132.50x = 40,878,402,811,998,640
  5. Step 5: Solve for x
    x = 40,878,402,811,998,640/127,664,132.50
  6. Step 6: Final answer
    x = 320,202,722.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.