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Finding the Third Proportional to 268,217,681 and 410,121,969.50

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Solution

The third proportional to 268,217,681 and 410,121,969.50 is: 627,102,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,217,681 : 410,121,969.50 = 410,121,969.50 : x
  2. Step 2: Convert to fraction form
    268,217,681/410,121,969.50 = 410,121,969.50/x
  3. Step 3: Cross multiply
    268,217,681x = 410,121,969.50 × 410,121,969.50
  4. Step 4: Simplify right side
    268,217,681x = 168,200,029,866,558,944
  5. Step 5: Solve for x
    x = 168,200,029,866,558,944/268,217,681
  6. Step 6: Final answer
    x = 627,102,692.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.