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Finding the Third Proportional to 134,099,624 and 289,567,696

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Solution

The third proportional to 134,099,624 and 289,567,696 is: 625,277,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,099,624 : 289,567,696 = 289,567,696 : x
  2. Step 2: Convert to fraction form
    134,099,624/289,567,696 = 289,567,696/x
  3. Step 3: Cross multiply
    134,099,624x = 289,567,696 × 289,567,696
  4. Step 4: Simplify right side
    134,099,624x = 83,849,450,566,748,416
  5. Step 5: Solve for x
    x = 83,849,450,566,748,416/134,099,624
  6. Step 6: Final answer
    x = 625,277,298.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.