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Finding the Third Proportional to 101,081,348 and 147,831,213

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Solution

The third proportional to 101,081,348 and 147,831,213 is: 216,202,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,081,348 : 147,831,213 = 147,831,213 : x
  2. Step 2: Convert to fraction form
    101,081,348/147,831,213 = 147,831,213/x
  3. Step 3: Cross multiply
    101,081,348x = 147,831,213 × 147,831,213
  4. Step 4: Simplify right side
    101,081,348x = 21,854,067,537,051,368
  5. Step 5: Solve for x
    x = 21,854,067,537,051,368/101,081,348
  6. Step 6: Final answer
    x = 216,202,771.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.