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Finding the Third Proportional to 164,709,774 and 354,948,399

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Solution

The third proportional to 164,709,774 and 354,948,399 is: 764,911,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,709,774 : 354,948,399 = 354,948,399 : x
  2. Step 2: Convert to fraction form
    164,709,774/354,948,399 = 354,948,399/x
  3. Step 3: Cross multiply
    164,709,774x = 354,948,399 × 354,948,399
  4. Step 4: Simplify right side
    164,709,774x = 125,988,365,952,663,200
  5. Step 5: Solve for x
    x = 125,988,365,952,663,200/164,709,774
  6. Step 6: Final answer
    x = 764,911,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.