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Finding the Third Proportional to 133,069,846 and 291,225,038

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Solution

The third proportional to 133,069,846 and 291,225,038 is: 637,349,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,846 : 291,225,038 = 291,225,038 : x
  2. Step 2: Convert to fraction form
    133,069,846/291,225,038 = 291,225,038/x
  3. Step 3: Cross multiply
    133,069,846x = 291,225,038 × 291,225,038
  4. Step 4: Simplify right side
    133,069,846x = 84,812,022,758,101,440
  5. Step 5: Solve for x
    x = 84,812,022,758,101,440/133,069,846
  6. Step 6: Final answer
    x = 637,349,672.43

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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.