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Finding the Third Proportional to 222,353,748 and 320,774,580

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Solution

The third proportional to 222,353,748 and 320,774,580 is: 462,759,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,353,748 : 320,774,580 = 320,774,580 : x
  2. Step 2: Convert to fraction form
    222,353,748/320,774,580 = 320,774,580/x
  3. Step 3: Cross multiply
    222,353,748x = 320,774,580 × 320,774,580
  4. Step 4: Simplify right side
    222,353,748x = 102,896,331,174,176,400
  5. Step 5: Solve for x
    x = 102,896,331,174,176,400/222,353,748
  6. Step 6: Final answer
    x = 462,759,598.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.