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Finding the Third Proportional to 98,467,648 and 215,466,368

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Solution

The third proportional to 98,467,648 and 215,466,368 is: 471,482,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,467,648 : 215,466,368 = 215,466,368 : x
  2. Step 2: Convert to fraction form
    98,467,648/215,466,368 = 215,466,368/x
  3. Step 3: Cross multiply
    98,467,648x = 215,466,368 × 215,466,368
  4. Step 4: Simplify right side
    98,467,648x = 46,425,755,739,111,424
  5. Step 5: Solve for x
    x = 46,425,755,739,111,424/98,467,648
  6. Step 6: Final answer
    x = 471,482,326.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.