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Finding the Third Proportional to 98,078,487 and 211,759,140

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Solution

The third proportional to 98,078,487 and 211,759,140 is: 457,204,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078,487 : 211,759,140 = 211,759,140 : x
  2. Step 2: Convert to fraction form
    98,078,487/211,759,140 = 211,759,140/x
  3. Step 3: Cross multiply
    98,078,487x = 211,759,140 × 211,759,140
  4. Step 4: Simplify right side
    98,078,487x = 44,841,933,373,539,600
  5. Step 5: Solve for x
    x = 44,841,933,373,539,600/98,078,487
  6. Step 6: Final answer
    x = 457,204,579.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.