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Finding the Third Proportional to 164,548,192.50 and 341,850,881.25

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Solution

The third proportional to 164,548,192.50 and 341,850,881.25 is: 710,199,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,548,192.50 : 341,850,881.25 = 341,850,881.25 : x
  2. Step 2: Convert to fraction form
    164,548,192.50/341,850,881.25 = 341,850,881.25/x
  3. Step 3: Cross multiply
    164,548,192.50x = 341,850,881.25 × 341,850,881.25
  4. Step 4: Simplify right side
    164,548,192.50x = 116,862,025,011,401,600
  5. Step 5: Solve for x
    x = 116,862,025,011,401,600/164,548,192.50
  6. Step 6: Final answer
    x = 710,199,384.36

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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.