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Finding the Third Proportional to 151,679,814 and 229,113,765

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Solution

The third proportional to 151,679,814 and 229,113,765 is: 346,078,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,679,814 : 229,113,765 = 229,113,765 : x
  2. Step 2: Convert to fraction form
    151,679,814/229,113,765 = 229,113,765/x
  3. Step 3: Cross multiply
    151,679,814x = 229,113,765 × 229,113,765
  4. Step 4: Simplify right side
    151,679,814x = 52,493,117,312,475,224
  5. Step 5: Solve for x
    x = 52,493,117,312,475,224/151,679,814
  6. Step 6: Final answer
    x = 346,078,465.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.