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Finding the Third Proportional to 130,469,247 and 182,501,316

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Solution

The third proportional to 130,469,247 and 182,501,316 is: 255,284,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,469,247 : 182,501,316 = 182,501,316 : x
  2. Step 2: Convert to fraction form
    130,469,247/182,501,316 = 182,501,316/x
  3. Step 3: Cross multiply
    130,469,247x = 182,501,316 × 182,501,316
  4. Step 4: Simplify right side
    130,469,247x = 33,306,730,341,731,856
  5. Step 5: Solve for x
    x = 33,306,730,341,731,856/130,469,247
  6. Step 6: Final answer
    x = 255,284,146.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.