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Finding the Third Proportional to 131,851,921.50 and 193,966,746.19

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Solution

The third proportional to 131,851,921.50 and 193,966,746.19 is: 285,343,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,851,921.50 : 193,966,746.19 = 193,966,746.19 : x
  2. Step 2: Convert to fraction form
    131,851,921.50/193,966,746.19 = 193,966,746.19/x
  3. Step 3: Cross multiply
    131,851,921.50x = 193,966,746.19 × 193,966,746.19
  4. Step 4: Simplify right side
    131,851,921.50x = 37,623,098,626,566,048
  5. Step 5: Solve for x
    x = 37,623,098,626,566,048/131,851,921.50
  6. Step 6: Final answer
    x = 285,343,574.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.