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Finding the Third Proportional to 184,641,987 and 398,765,001.50

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Solution

The third proportional to 184,641,987 and 398,765,001.50 is: 861,199,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,641,987 : 398,765,001.50 = 398,765,001.50 : x
  2. Step 2: Convert to fraction form
    184,641,987/398,765,001.50 = 398,765,001.50/x
  3. Step 3: Cross multiply
    184,641,987x = 398,765,001.50 × 398,765,001.50
  4. Step 4: Simplify right side
    184,641,987x = 159,013,526,421,295,008
  5. Step 5: Solve for x
    x = 159,013,526,421,295,008/184,641,987
  6. Step 6: Final answer
    x = 861,199,172.54

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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.