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Finding the Third Proportional to 122,146,177.50 and 266,240,114.50

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Solution

The third proportional to 122,146,177.50 and 266,240,114.50 is: 580,319,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,146,177.50 : 266,240,114.50 = 266,240,114.50 : x
  2. Step 2: Convert to fraction form
    122,146,177.50/266,240,114.50 = 266,240,114.50/x
  3. Step 3: Cross multiply
    122,146,177.50x = 266,240,114.50 × 266,240,114.50
  4. Step 4: Simplify right side
    122,146,177.50x = 70,883,798,568,973,112
  5. Step 5: Solve for x
    x = 70,883,798,568,973,112/122,146,177.50
  6. Step 6: Final answer
    x = 580,319,417.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.