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Finding the Third Proportional to 46,076,475 and 98,990,931

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Solution

The third proportional to 46,076,475 and 98,990,931 is: 212,672,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,076,475 : 98,990,931 = 98,990,931 : x
  2. Step 2: Convert to fraction form
    46,076,475/98,990,931 = 98,990,931/x
  3. Step 3: Cross multiply
    46,076,475x = 98,990,931 × 98,990,931
  4. Step 4: Simplify right side
    46,076,475x = 9,799,204,420,246,760
  5. Step 5: Solve for x
    x = 9,799,204,420,246,760/46,076,475
  6. Step 6: Final answer
    x = 212,672,614.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.