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Finding the Third Proportional to 116,964,121.50 and 181,843,177.50

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Solution

The third proportional to 116,964,121.50 and 181,843,177.50 is: 282,710,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964,121.50 : 181,843,177.50 = 181,843,177.50 : x
  2. Step 2: Convert to fraction form
    116,964,121.50/181,843,177.50 = 181,843,177.50/x
  3. Step 3: Cross multiply
    116,964,121.50x = 181,843,177.50 × 181,843,177.50
  4. Step 4: Simplify right side
    116,964,121.50x = 33,066,941,203,296,508
  5. Step 5: Solve for x
    x = 33,066,941,203,296,508/116,964,121.50
  6. Step 6: Final answer
    x = 282,710,123.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.