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Finding the Third Proportional to 276,943,617 and 438,533,176.50

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Solution

The third proportional to 276,943,617 and 438,533,176.50 is: 694,406,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,943,617 : 438,533,176.50 = 438,533,176.50 : x
  2. Step 2: Convert to fraction form
    276,943,617/438,533,176.50 = 438,533,176.50/x
  3. Step 3: Cross multiply
    276,943,617x = 438,533,176.50 × 438,533,176.50
  4. Step 4: Simplify right side
    276,943,617x = 192,311,346,891,180,160
  5. Step 5: Solve for x
    x = 192,311,346,891,180,160/276,943,617
  6. Step 6: Final answer
    x = 694,406,135.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.