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Finding the Third Proportional to 76,762,972.50 and 117,929,603.50

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Solution

The third proportional to 76,762,972.50 and 117,929,603.50 is: 181,173,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762,972.50 : 117,929,603.50 = 117,929,603.50 : x
  2. Step 2: Convert to fraction form
    76,762,972.50/117,929,603.50 = 117,929,603.50/x
  3. Step 3: Cross multiply
    76,762,972.50x = 117,929,603.50 × 117,929,603.50
  4. Step 4: Simplify right side
    76,762,972.50x = 13,907,391,381,667,212
  5. Step 5: Solve for x
    x = 13,907,391,381,667,212/76,762,972.50
  6. Step 6: Final answer
    x = 181,173,174.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.