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Finding the Third Proportional to 196,594,089.75 and 327,617,529.75

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Solution

The third proportional to 196,594,089.75 and 327,617,529.75 is: 545,963,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,594,089.75 : 327,617,529.75 = 327,617,529.75 : x
  2. Step 2: Convert to fraction form
    196,594,089.75/327,617,529.75 = 327,617,529.75/x
  3. Step 3: Cross multiply
    196,594,089.75x = 327,617,529.75 × 327,617,529.75
  4. Step 4: Simplify right side
    196,594,089.75x = 107,333,245,799,492,128
  5. Step 5: Solve for x
    x = 107,333,245,799,492,128/196,594,089.75
  6. Step 6: Final answer
    x = 545,963,746.60

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.