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Finding the Third Proportional to 246,291,730.50 and 535,451,901

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Solution

The third proportional to 246,291,730.50 and 535,451,901 is: 1,164,102,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,291,730.50 : 535,451,901 = 535,451,901 : x
  2. Step 2: Convert to fraction form
    246,291,730.50/535,451,901 = 535,451,901/x
  3. Step 3: Cross multiply
    246,291,730.50x = 535,451,901 × 535,451,901
  4. Step 4: Simplify right side
    246,291,730.50x = 286,708,738,284,513,792
  5. Step 5: Solve for x
    x = 286,708,738,284,513,792/246,291,730.50
  6. Step 6: Final answer
    x = 1,164,102,171.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.