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Finding the Third Proportional to 229,943,363,652 and 503,234,421,300

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Solution

The third proportional to 229,943,363,652 and 503,234,421,300 is: 1,101,335,906,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,943,363,652 : 503,234,421,300 = 503,234,421,300 : x
  2. Step 2: Convert to fraction form
    229,943,363,652/503,234,421,300 = 503,234,421,300/x
  3. Step 3: Cross multiply
    229,943,363,652x = 503,234,421,300 × 503,234,421,300
  4. Step 4: Simplify right side
    229,943,363,652x = 253,244,882,781,145,879,543,808
  5. Step 5: Solve for x
    x = 253,244,882,781,145,879,543,808/229,943,363,652
  6. Step 6: Final answer
    x = 1,101,335,906,194.76

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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.