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Finding the Third Proportional to 71,603,420.34 and 106,062,893.44

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Solution

The third proportional to 71,603,420.34 and 106,062,893.44 is: 157,106,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,603,420.34 : 106,062,893.44 = 106,062,893.44 : x
  2. Step 2: Convert to fraction form
    71,603,420.34/106,062,893.44 = 106,062,893.44/x
  3. Step 3: Cross multiply
    71,603,420.34x = 106,062,893.44 × 106,062,893.44
  4. Step 4: Simplify right side
    71,603,420.34x = 11,249,337,364,334,480
  5. Step 5: Solve for x
    x = 11,249,337,364,334,480/71,603,420.34
  6. Step 6: Final answer
    x = 157,106,145.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.