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Finding the Third Proportional to 98,465,386 and 214,269,308

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Solution

The third proportional to 98,465,386 and 214,269,308 is: 466,268,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,465,386 : 214,269,308 = 214,269,308 : x
  2. Step 2: Convert to fraction form
    98,465,386/214,269,308 = 214,269,308/x
  3. Step 3: Cross multiply
    98,465,386x = 214,269,308 × 214,269,308
  4. Step 4: Simplify right side
    98,465,386x = 45,911,336,350,798,864
  5. Step 5: Solve for x
    x = 45,911,336,350,798,864/98,465,386
  6. Step 6: Final answer
    x = 466,268,789.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.