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Finding the Third Proportional to 114,583,789.69 and 181,737,004.22

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Solution

The third proportional to 114,583,789.69 and 181,737,004.22 is: 288,246,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,583,789.69 : 181,737,004.22 = 181,737,004.22 : x
  2. Step 2: Convert to fraction form
    114,583,789.69/181,737,004.22 = 181,737,004.22/x
  3. Step 3: Cross multiply
    114,583,789.69x = 181,737,004.22 × 181,737,004.22
  4. Step 4: Simplify right side
    114,583,789.69x = 33,028,338,702,402,316
  5. Step 5: Solve for x
    x = 33,028,338,702,402,316/114,583,789.69
  6. Step 6: Final answer
    x = 288,246,171.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.