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Finding the Third Proportional to 193,513,970 and 417,812,260

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Solution

The third proportional to 193,513,970 and 417,812,260 is: 902,090,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513,970 : 417,812,260 = 417,812,260 : x
  2. Step 2: Convert to fraction form
    193,513,970/417,812,260 = 417,812,260/x
  3. Step 3: Cross multiply
    193,513,970x = 417,812,260 × 417,812,260
  4. Step 4: Simplify right side
    193,513,970x = 174,567,084,606,307,584
  5. Step 5: Solve for x
    x = 174,567,084,606,307,584/193,513,970
  6. Step 6: Final answer
    x = 902,090,348.34

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