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Finding the Third Proportional to 193,513,792.50 and 417,811,797

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Solution

The third proportional to 193,513,792.50 and 417,811,797 is: 902,089,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513,792.50 : 417,811,797 = 417,811,797 : x
  2. Step 2: Convert to fraction form
    193,513,792.50/417,811,797 = 417,811,797/x
  3. Step 3: Cross multiply
    193,513,792.50x = 417,811,797 × 417,811,797
  4. Step 4: Simplify right side
    193,513,792.50x = 174,566,697,712,369,216
  5. Step 5: Solve for x
    x = 174,566,697,712,369,216/193,513,792.50
  6. Step 6: Final answer
    x = 902,089,176.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.