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Finding the Third Proportional to 136,380,154 and 299,164,201

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Solution

The third proportional to 136,380,154 and 299,164,201 is: 656,248,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,380,154 : 299,164,201 = 299,164,201 : x
  2. Step 2: Convert to fraction form
    136,380,154/299,164,201 = 299,164,201/x
  3. Step 3: Cross multiply
    136,380,154x = 299,164,201 × 299,164,201
  4. Step 4: Simplify right side
    136,380,154x = 89,499,219,159,968,400
  5. Step 5: Solve for x
    x = 89,499,219,159,968,400/136,380,154
  6. Step 6: Final answer
    x = 656,248,116.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.