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Finding the Third Proportional to 46,641,249 and 102,465,090

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Solution

The third proportional to 46,641,249 and 102,465,090 is: 225,103,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,641,249 : 102,465,090 = 102,465,090 : x
  2. Step 2: Convert to fraction form
    46,641,249/102,465,090 = 102,465,090/x
  3. Step 3: Cross multiply
    46,641,249x = 102,465,090 × 102,465,090
  4. Step 4: Simplify right side
    46,641,249x = 10,499,094,668,708,100
  5. Step 5: Solve for x
    x = 10,499,094,668,708,100/46,641,249
  6. Step 6: Final answer
    x = 225,103,205.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.