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Finding the Third Proportional to 98,121,535,031 and 212,989,253,222

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Solution

The third proportional to 98,121,535,031 and 212,989,253,222 is: 462,328,906,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121,535,031 : 212,989,253,222 = 212,989,253,222 : x
  2. Step 2: Convert to fraction form
    98,121,535,031/212,989,253,222 = 212,989,253,222/x
  3. Step 3: Cross multiply
    98,121,535,031x = 212,989,253,222 × 212,989,253,222
  4. Step 4: Simplify right side
    98,121,535,031x = 45,364,421,988,065,233,338,368
  5. Step 5: Solve for x
    x = 45,364,421,988,065,233,338,368/98,121,535,031
  6. Step 6: Final answer
    x = 462,328,906,429.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.