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Finding the Third Proportional to 45,997,719 and 98,377,671

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Solution

The third proportional to 45,997,719 and 98,377,671 is: 210,405,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997,719 : 98,377,671 = 98,377,671 : x
  2. Step 2: Convert to fraction form
    45,997,719/98,377,671 = 98,377,671/x
  3. Step 3: Cross multiply
    45,997,719x = 98,377,671 × 98,377,671
  4. Step 4: Simplify right side
    45,997,719x = 9,678,166,151,384,240
  5. Step 5: Solve for x
    x = 9,678,166,151,384,240/45,997,719
  6. Step 6: Final answer
    x = 210,405,349.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.