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Finding the Third Proportional to 208,698,522 and 453,357,870

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Solution

The third proportional to 208,698,522 and 453,357,870 is: 984,833,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698,522 : 453,357,870 = 453,357,870 : x
  2. Step 2: Convert to fraction form
    208,698,522/453,357,870 = 453,357,870/x
  3. Step 3: Cross multiply
    208,698,522x = 453,357,870 × 453,357,870
  4. Step 4: Simplify right side
    208,698,522x = 205,533,358,290,936,896
  5. Step 5: Solve for x
    x = 205,533,358,290,936,896/208,698,522
  6. Step 6: Final answer
    x = 984,833,799.11

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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.