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Finding the Third Proportional to 107,959,663.50 and 233,121,984

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Solution

The third proportional to 107,959,663.50 and 233,121,984 is: 503,390,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,959,663.50 : 233,121,984 = 233,121,984 : x
  2. Step 2: Convert to fraction form
    107,959,663.50/233,121,984 = 233,121,984/x
  3. Step 3: Cross multiply
    107,959,663.50x = 233,121,984 × 233,121,984
  4. Step 4: Simplify right side
    107,959,663.50x = 54,345,859,424,096,256
  5. Step 5: Solve for x
    x = 54,345,859,424,096,256/107,959,663.50
  6. Step 6: Final answer
    x = 503,390,411.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.