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Finding the Third Proportional to 101,077,261 and 155,267,038

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Solution

The third proportional to 101,077,261 and 155,267,038 is: 238,509,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077,261 : 155,267,038 = 155,267,038 : x
  2. Step 2: Convert to fraction form
    101,077,261/155,267,038 = 155,267,038/x
  3. Step 3: Cross multiply
    101,077,261x = 155,267,038 × 155,267,038
  4. Step 4: Simplify right side
    101,077,261x = 24,107,853,089,293,444
  5. Step 5: Solve for x
    x = 24,107,853,089,293,444/101,077,261
  6. Step 6: Final answer
    x = 238,509,164.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.