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Finding the Third Proportional to 64,244,763 and 97,872,838.50

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Solution

The third proportional to 64,244,763 and 97,872,838.50 is: 149,103,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,244,763 : 97,872,838.50 = 97,872,838.50 : x
  2. Step 2: Convert to fraction form
    64,244,763/97,872,838.50 = 97,872,838.50/x
  3. Step 3: Cross multiply
    64,244,763x = 97,872,838.50 × 97,872,838.50
  4. Step 4: Simplify right side
    64,244,763x = 9,579,092,516,047,082
  5. Step 5: Solve for x
    x = 9,579,092,516,047,082/64,244,763
  6. Step 6: Final answer
    x = 149,103,087.45

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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.