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Finding the Third Proportional to 135,608,377 and 294,334,468

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Solution

The third proportional to 135,608,377 and 294,334,468 is: 638,845,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,608,377 : 294,334,468 = 294,334,468 : x
  2. Step 2: Convert to fraction form
    135,608,377/294,334,468 = 294,334,468/x
  3. Step 3: Cross multiply
    135,608,377x = 294,334,468 × 294,334,468
  4. Step 4: Simplify right side
    135,608,377x = 86,632,779,052,843,024
  5. Step 5: Solve for x
    x = 86,632,779,052,843,024/135,608,377
  6. Step 6: Final answer
    x = 638,845,335.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.