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Finding the Third Proportional to 101,081,346 and 147,831,210

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Solution

The third proportional to 101,081,346 and 147,831,210 is: 216,202,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,081,346 : 147,831,210 = 147,831,210 : x
  2. Step 2: Convert to fraction form
    101,081,346/147,831,210 = 147,831,210/x
  3. Step 3: Cross multiply
    101,081,346x = 147,831,210 × 147,831,210
  4. Step 4: Simplify right side
    101,081,346x = 21,854,066,650,064,100
  5. Step 5: Solve for x
    x = 21,854,066,650,064,100/101,081,346
  6. Step 6: Final answer
    x = 216,202,766.53

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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.