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Finding the Third Proportional to 103,435,299 and 225,030,817.50

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Solution

The third proportional to 103,435,299 and 225,030,817.50 is: 489,570,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435,299 : 225,030,817.50 = 225,030,817.50 : x
  2. Step 2: Convert to fraction form
    103,435,299/225,030,817.50 = 225,030,817.50/x
  3. Step 3: Cross multiply
    103,435,299x = 225,030,817.50 × 225,030,817.50
  4. Step 4: Simplify right side
    103,435,299x = 50,638,868,824,718,304
  5. Step 5: Solve for x
    x = 50,638,868,824,718,304/103,435,299
  6. Step 6: Final answer
    x = 489,570,478.50

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Why These Related Problems?

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