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Finding the Third Proportional to 66,913,144.88 and 102,292,941.38

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Solution

The third proportional to 66,913,144.88 and 102,292,941.38 is: 156,379,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913,144.88 : 102,292,941.38 = 102,292,941.38 : x
  2. Step 2: Convert to fraction form
    66,913,144.88/102,292,941.38 = 102,292,941.38/x
  3. Step 3: Cross multiply
    66,913,144.88x = 102,292,941.38 × 102,292,941.38
  4. Step 4: Simplify right side
    66,913,144.88x = 10,463,845,855,149,186
  5. Step 5: Solve for x
    x = 10,463,845,855,149,186/66,913,144.88
  6. Step 6: Final answer
    x = 156,379,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.