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Finding the Third Proportional to 133,069,023.07 and 291,223,568.32

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Solution

The third proportional to 133,069,023.07 and 291,223,568.32 is: 637,347,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,023.07 : 291,223,568.32 = 291,223,568.32 : x
  2. Step 2: Convert to fraction form
    133,069,023.07/291,223,568.32 = 291,223,568.32/x
  3. Step 3: Cross multiply
    133,069,023.07x = 291,223,568.32 × 291,223,568.32
  4. Step 4: Simplify right side
    133,069,023.07x = 84,811,166,745,208,432
  5. Step 5: Solve for x
    x = 84,811,166,745,208,432/133,069,023.07
  6. Step 6: Final answer
    x = 637,347,181.10

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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.