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Finding the Third Proportional to 70,288,579,125 and 107,077,387,963.50

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Solution

The third proportional to 70,288,579,125 and 107,077,387,963.50 is: 163,121,337,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288,579,125 : 107,077,387,963.50 = 107,077,387,963.50 : x
  2. Step 2: Convert to fraction form
    70,288,579,125/107,077,387,963.50 = 107,077,387,963.50/x
  3. Step 3: Cross multiply
    70,288,579,125x = 107,077,387,963.50 × 107,077,387,963.50
  4. Step 4: Simplify right side
    70,288,579,125x = 11,465,567,013,085,894,410,240
  5. Step 5: Solve for x
    x = 11,465,567,013,085,894,410,240/70,288,579,125
  6. Step 6: Final answer
    x = 163,121,337,147.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.