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Finding the Third Proportional to 164,559,630 and 350,989,258

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Solution

The third proportional to 164,559,630 and 350,989,258 is: 748,625,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,559,630 : 350,989,258 = 350,989,258 : x
  2. Step 2: Convert to fraction form
    164,559,630/350,989,258 = 350,989,258/x
  3. Step 3: Cross multiply
    164,559,630x = 350,989,258 × 350,989,258
  4. Step 4: Simplify right side
    164,559,630x = 123,193,459,231,390,560
  5. Step 5: Solve for x
    x = 123,193,459,231,390,560/164,559,630
  6. Step 6: Final answer
    x = 748,625,037.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.