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Finding the Third Proportional to 101,877,702.75 and 158,870,004.75

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Solution

The third proportional to 101,877,702.75 and 158,870,004.75 is: 247,744,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,877,702.75 : 158,870,004.75 = 158,870,004.75 : x
  2. Step 2: Convert to fraction form
    101,877,702.75/158,870,004.75 = 158,870,004.75/x
  3. Step 3: Cross multiply
    101,877,702.75x = 158,870,004.75 × 158,870,004.75
  4. Step 4: Simplify right side
    101,877,702.75x = 25,239,678,409,265,024
  5. Step 5: Solve for x
    x = 25,239,678,409,265,024/101,877,702.75
  6. Step 6: Final answer
    x = 247,744,871.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.