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Finding the Third Proportional to 76,566,066 and 114,905,097

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Solution

The third proportional to 76,566,066 and 114,905,097 is: 172,441,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,066 : 114,905,097 = 114,905,097 : x
  2. Step 2: Convert to fraction form
    76,566,066/114,905,097 = 114,905,097/x
  3. Step 3: Cross multiply
    76,566,066x = 114,905,097 × 114,905,097
  4. Step 4: Simplify right side
    76,566,066x = 13,203,181,316,579,408
  5. Step 5: Solve for x
    x = 13,203,181,316,579,408/76,566,066
  6. Step 6: Final answer
    x = 172,441,683.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.