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Finding the Third Proportional to 64,266,203 and 97,905,114

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Solution

The third proportional to 64,266,203 and 97,905,114 is: 149,151,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,266,203 : 97,905,114 = 97,905,114 : x
  2. Step 2: Convert to fraction form
    64,266,203/97,905,114 = 97,905,114/x
  3. Step 3: Cross multiply
    64,266,203x = 97,905,114 × 97,905,114
  4. Step 4: Simplify right side
    64,266,203x = 9,585,411,347,352,996
  5. Step 5: Solve for x
    x = 9,585,411,347,352,996/64,266,203
  6. Step 6: Final answer
    x = 149,151,667.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.