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Finding the Third Proportional to 134,608,824 and 292,802,416.50

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Solution

The third proportional to 134,608,824 and 292,802,416.50 is: 636,906,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,608,824 : 292,802,416.50 = 292,802,416.50 : x
  2. Step 2: Convert to fraction form
    134,608,824/292,802,416.50 = 292,802,416.50/x
  3. Step 3: Cross multiply
    134,608,824x = 292,802,416.50 × 292,802,416.50
  4. Step 4: Simplify right side
    134,608,824x = 85,733,255,108,239,472
  5. Step 5: Solve for x
    x = 85,733,255,108,239,472/134,608,824
  6. Step 6: Final answer
    x = 636,906,649.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.