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Finding the Third Proportional to 61,293,209 and 91,408,291.50

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Solution

The third proportional to 61,293,209 and 91,408,291.50 is: 136,319,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,293,209 : 91,408,291.50 = 91,408,291.50 : x
  2. Step 2: Convert to fraction form
    61,293,209/91,408,291.50 = 91,408,291.50/x
  3. Step 3: Cross multiply
    61,293,209x = 91,408,291.50 × 91,408,291.50
  4. Step 4: Simplify right side
    61,293,209x = 8,355,475,754,948,972
  5. Step 5: Solve for x
    x = 8,355,475,754,948,972/61,293,209
  6. Step 6: Final answer
    x = 136,319,763.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.