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Finding the Third Proportional to 204,013,090 and 306,617,547

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Solution

The third proportional to 204,013,090 and 306,617,547 is: 460,824,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,013,090 : 306,617,547 = 306,617,547 : x
  2. Step 2: Convert to fraction form
    204,013,090/306,617,547 = 306,617,547/x
  3. Step 3: Cross multiply
    204,013,090x = 306,617,547 × 306,617,547
  4. Step 4: Simplify right side
    204,013,090x = 94,014,320,128,297,216
  5. Step 5: Solve for x
    x = 94,014,320,128,297,216/204,013,090
  6. Step 6: Final answer
    x = 460,824,940.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.