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Finding the Third Proportional to 95,709,438 and 208,742,832

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Solution

The third proportional to 95,709,438 and 208,742,832 is: 455,269,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,709,438 : 208,742,832 = 208,742,832 : x
  2. Step 2: Convert to fraction form
    95,709,438/208,742,832 = 208,742,832/x
  3. Step 3: Cross multiply
    95,709,438x = 208,742,832 × 208,742,832
  4. Step 4: Simplify right side
    95,709,438x = 43,573,569,911,380,224
  5. Step 5: Solve for x
    x = 43,573,569,911,380,224/95,709,438
  6. Step 6: Final answer
    x = 455,269,311.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.