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Finding the Third Proportional to 133,070.98 and 291,904.70

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Solution

The third proportional to 133,070.98 and 291,904.70 is: 640,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070.98 : 291,904.70 = 291,904.70 : x
  2. Step 2: Convert to fraction form
    133,070.98/291,904.70 = 291,904.70/x
  3. Step 3: Cross multiply
    133,070.98x = 291,904.70 × 291,904.70
  4. Step 4: Simplify right side
    133,070.98x = 85,208,353,425.99
  5. Step 5: Solve for x
    x = 85,208,353,425.99/133,070.98
  6. Step 6: Final answer
    x = 640,322.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.