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Finding the Third Proportional to 65,293,284 and 142,523,216

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Solution

The third proportional to 65,293,284 and 142,523,216 is: 311,101,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293,284 : 142,523,216 = 142,523,216 : x
  2. Step 2: Convert to fraction form
    65,293,284/142,523,216 = 142,523,216/x
  3. Step 3: Cross multiply
    65,293,284x = 142,523,216 × 142,523,216
  4. Step 4: Simplify right side
    65,293,284x = 20,312,867,098,982,656
  5. Step 5: Solve for x
    x = 20,312,867,098,982,656/65,293,284
  6. Step 6: Final answer
    x = 311,101,936.59

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