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Finding the Third Proportional to 105,662,460 and 230,083,125

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Solution

The third proportional to 105,662,460 and 230,083,125 is: 501,012,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,662,460 : 230,083,125 = 230,083,125 : x
  2. Step 2: Convert to fraction form
    105,662,460/230,083,125 = 230,083,125/x
  3. Step 3: Cross multiply
    105,662,460x = 230,083,125 × 230,083,125
  4. Step 4: Simplify right side
    105,662,460x = 52,938,244,409,765,624
  5. Step 5: Solve for x
    x = 52,938,244,409,765,624/105,662,460
  6. Step 6: Final answer
    x = 501,012,794.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.