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Finding the Third Proportional to 44,865,814 and 97,388,777.50

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Solution

The third proportional to 44,865,814 and 97,388,777.50 is: 211,398,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,865,814 : 97,388,777.50 = 97,388,777.50 : x
  2. Step 2: Convert to fraction form
    44,865,814/97,388,777.50 = 97,388,777.50/x
  3. Step 3: Cross multiply
    44,865,814x = 97,388,777.50 × 97,388,777.50
  4. Step 4: Simplify right side
    44,865,814x = 9,484,573,982,944,506
  5. Step 5: Solve for x
    x = 9,484,573,982,944,506/44,865,814
  6. Step 6: Final answer
    x = 211,398,682.81

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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.