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Finding the Third Proportional to 133,069,898 and 291,225,172

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Solution

The third proportional to 133,069,898 and 291,225,172 is: 637,350,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,898 : 291,225,172 = 291,225,172 : x
  2. Step 2: Convert to fraction form
    133,069,898/291,225,172 = 291,225,172/x
  3. Step 3: Cross multiply
    133,069,898x = 291,225,172 × 291,225,172
  4. Step 4: Simplify right side
    133,069,898x = 84,812,100,806,429,584
  5. Step 5: Solve for x
    x = 84,812,100,806,429,584/133,069,898
  6. Step 6: Final answer
    x = 637,350,009.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.