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Finding the Third Proportional to 272,354,217 and 564,087,784.50

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Solution

The third proportional to 272,354,217 and 564,087,784.50 is: 1,168,313,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,354,217 : 564,087,784.50 = 564,087,784.50 : x
  2. Step 2: Convert to fraction form
    272,354,217/564,087,784.50 = 564,087,784.50/x
  3. Step 3: Cross multiply
    272,354,217x = 564,087,784.50 × 564,087,784.50
  4. Step 4: Simplify right side
    272,354,217x = 318,195,028,622,118,464
  5. Step 5: Solve for x
    x = 318,195,028,622,118,464/272,354,217
  6. Step 6: Final answer
    x = 1,168,313,206.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.