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Finding the Third Proportional to 76,514,243 and 163,944,247.50

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Solution

The third proportional to 76,514,243 and 163,944,247.50 is: 351,277,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,514,243 : 163,944,247.50 = 163,944,247.50 : x
  2. Step 2: Convert to fraction form
    76,514,243/163,944,247.50 = 163,944,247.50/x
  3. Step 3: Cross multiply
    76,514,243x = 163,944,247.50 × 163,944,247.50
  4. Step 4: Simplify right side
    76,514,243x = 26,877,716,288,341,256
  5. Step 5: Solve for x
    x = 26,877,716,288,341,256/76,514,243
  6. Step 6: Final answer
    x = 351,277,294.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.