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Finding the Third Proportional to 50,541,055.31 and 72,224,339.06

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Solution

The third proportional to 50,541,055.31 and 72,224,339.06 is: 103,210,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541,055.31 : 72,224,339.06 = 72,224,339.06 : x
  2. Step 2: Convert to fraction form
    50,541,055.31/72,224,339.06 = 72,224,339.06/x
  3. Step 3: Cross multiply
    50,541,055.31x = 72,224,339.06 × 72,224,339.06
  4. Step 4: Simplify right side
    50,541,055.31x = 5,216,355,153,014,963
  5. Step 5: Solve for x
    x = 5,216,355,153,014,963/50,541,055.31
  6. Step 6: Final answer
    x = 103,210,253.94

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Why These Related Problems?

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