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Finding the Third Proportional to 46,582,719 and 97,984,368

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Solution

The third proportional to 46,582,719 and 97,984,368 is: 206,105,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,582,719 : 97,984,368 = 97,984,368 : x
  2. Step 2: Convert to fraction form
    46,582,719/97,984,368 = 97,984,368/x
  3. Step 3: Cross multiply
    46,582,719x = 97,984,368 × 97,984,368
  4. Step 4: Simplify right side
    46,582,719x = 9,600,936,372,359,424
  5. Step 5: Solve for x
    x = 9,600,936,372,359,424/46,582,719
  6. Step 6: Final answer
    x = 206,105,108.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.