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Finding the Third Proportional to 164,548,220 and 341,850,938

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Solution

The third proportional to 164,548,220 and 341,850,938 is: 710,199,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,548,220 : 341,850,938 = 341,850,938 : x
  2. Step 2: Convert to fraction form
    164,548,220/341,850,938 = 341,850,938/x
  3. Step 3: Cross multiply
    164,548,220x = 341,850,938 × 341,850,938
  4. Step 4: Simplify right side
    164,548,220x = 116,862,063,811,479,840
  5. Step 5: Solve for x
    x = 116,862,063,811,479,840/164,548,220
  6. Step 6: Final answer
    x = 710,199,501.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.