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Finding the Third Proportional to 230,868,584 and 507,910,084

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Solution

The third proportional to 230,868,584 and 507,910,084 is: 1,117,400,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,868,584 : 507,910,084 = 507,910,084 : x
  2. Step 2: Convert to fraction form
    230,868,584/507,910,084 = 507,910,084/x
  3. Step 3: Cross multiply
    230,868,584x = 507,910,084 × 507,910,084
  4. Step 4: Simplify right side
    230,868,584x = 257,972,653,428,887,040
  5. Step 5: Solve for x
    x = 257,972,653,428,887,040/230,868,584
  6. Step 6: Final answer
    x = 1,117,400,423.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.