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Finding the Third Proportional to 113,717,406.50 and 162,504,810.75

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Solution

The third proportional to 113,717,406.50 and 162,504,810.75 is: 232,223,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,717,406.50 : 162,504,810.75 = 162,504,810.75 : x
  2. Step 2: Convert to fraction form
    113,717,406.50/162,504,810.75 = 162,504,810.75/x
  3. Step 3: Cross multiply
    113,717,406.50x = 162,504,810.75 × 162,504,810.75
  4. Step 4: Simplify right side
    113,717,406.50x = 26,407,813,516,893,316
  5. Step 5: Solve for x
    x = 26,407,813,516,893,316/113,717,406.50
  6. Step 6: Final answer
    x = 232,223,142.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.