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Finding the Third Proportional to 181,115,724 and 282,435,259.50

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Solution

The third proportional to 181,115,724 and 282,435,259.50 is: 440,434,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,724 : 282,435,259.50 = 282,435,259.50 : x
  2. Step 2: Convert to fraction form
    181,115,724/282,435,259.50 = 282,435,259.50/x
  3. Step 3: Cross multiply
    181,115,724x = 282,435,259.50 × 282,435,259.50
  4. Step 4: Simplify right side
    181,115,724x = 79,769,675,808,832,336
  5. Step 5: Solve for x
    x = 79,769,675,808,832,336/181,115,724
  6. Step 6: Final answer
    x = 440,434,844.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.