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Finding the Third Proportional to 96,348,386.25 and 137,348,124.19

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Solution

The third proportional to 96,348,386.25 and 137,348,124.19 is: 195,794,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348,386.25 : 137,348,124.19 = 137,348,124.19 : x
  2. Step 2: Convert to fraction form
    96,348,386.25/137,348,124.19 = 137,348,124.19/x
  3. Step 3: Cross multiply
    96,348,386.25x = 137,348,124.19 × 137,348,124.19
  4. Step 4: Simplify right side
    96,348,386.25x = 18,864,507,217,824,924
  5. Step 5: Solve for x
    x = 18,864,507,217,824,924/96,348,386.25
  6. Step 6: Final answer
    x = 195,794,739.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.