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Finding the Third Proportional to 71,088,845,642 and 148,061,673,232

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Solution

The third proportional to 71,088,845,642 and 148,061,673,232 is: 308,378,324,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088,845,642 : 148,061,673,232 = 148,061,673,232 : x
  2. Step 2: Convert to fraction form
    71,088,845,642/148,061,673,232 = 148,061,673,232/x
  3. Step 3: Cross multiply
    71,088,845,642x = 148,061,673,232 × 148,061,673,232
  4. Step 4: Simplify right side
    71,088,845,642x = 21,922,259,080,259,544,547,328
  5. Step 5: Solve for x
    x = 21,922,259,080,259,544,547,328/71,088,845,642
  6. Step 6: Final answer
    x = 308,378,324,085.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.