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Finding the Third Proportional to 103,435,304 and 225,030,827.50

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Solution

The third proportional to 103,435,304 and 225,030,827.50 is: 489,570,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435,304 : 225,030,827.50 = 225,030,827.50 : x
  2. Step 2: Convert to fraction form
    103,435,304/225,030,827.50 = 225,030,827.50/x
  3. Step 3: Cross multiply
    103,435,304x = 225,030,827.50 × 225,030,827.50
  4. Step 4: Simplify right side
    103,435,304x = 50,638,873,325,334,760
  5. Step 5: Solve for x
    x = 50,638,873,325,334,760/103,435,304
  6. Step 6: Final answer
    x = 489,570,498.34

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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.