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Finding the Third Proportional to 155,452,508,499 and 238,835,598,196.50

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Solution

The third proportional to 155,452,508,499 and 238,835,598,196.50 is: 366,944,499,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,452,508,499 : 238,835,598,196.50 = 238,835,598,196.50 : x
  2. Step 2: Convert to fraction form
    155,452,508,499/238,835,598,196.50 = 238,835,598,196.50/x
  3. Step 3: Cross multiply
    155,452,508,499x = 238,835,598,196.50 × 238,835,598,196.50
  4. Step 4: Simplify right side
    155,452,508,499x = 57,042,442,965,879,990,779,904
  5. Step 5: Solve for x
    x = 57,042,442,965,879,990,779,904/155,452,508,499
  6. Step 6: Final answer
    x = 366,944,499,748.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.