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Finding the Third Proportional to 97,564,023 and 151,157,434.50

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Solution

The third proportional to 97,564,023 and 151,157,434.50 is: 234,190,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,564,023 : 151,157,434.50 = 151,157,434.50 : x
  2. Step 2: Convert to fraction form
    97,564,023/151,157,434.50 = 151,157,434.50/x
  3. Step 3: Cross multiply
    97,564,023x = 151,157,434.50 × 151,157,434.50
  4. Step 4: Simplify right side
    97,564,023x = 22,848,570,004,621,792
  5. Step 5: Solve for x
    x = 22,848,570,004,621,792/97,564,023
  6. Step 6: Final answer
    x = 234,190,527.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.