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Finding the Third Proportional to 41,750,071.50 and 86,364,013.50

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Solution

The third proportional to 41,750,071.50 and 86,364,013.50 is: 178,652,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,750,071.50 : 86,364,013.50 = 86,364,013.50 : x
  2. Step 2: Convert to fraction form
    41,750,071.50/86,364,013.50 = 86,364,013.50/x
  3. Step 3: Cross multiply
    41,750,071.50x = 86,364,013.50 × 86,364,013.50
  4. Step 4: Simplify right side
    41,750,071.50x = 7,458,742,827,828,182
  5. Step 5: Solve for x
    x = 7,458,742,827,828,182/41,750,071.50
  6. Step 6: Final answer
    x = 178,652,216.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.