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Finding the Third Proportional to 97,939,914.75 and 213,784,798.50

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Solution

The third proportional to 97,939,914.75 and 213,784,798.50 is: 466,652,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,939,914.75 : 213,784,798.50 = 213,784,798.50 : x
  2. Step 2: Convert to fraction form
    97,939,914.75/213,784,798.50 = 213,784,798.50/x
  3. Step 3: Cross multiply
    97,939,914.75x = 213,784,798.50 × 213,784,798.50
  4. Step 4: Simplify right side
    97,939,914.75x = 45,703,940,069,685,600
  5. Step 5: Solve for x
    x = 45,703,940,069,685,600/97,939,914.75
  6. Step 6: Final answer
    x = 466,652,847.17

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Why These Related Problems?

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