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Finding the Third Proportional to 207,390,957.75 and 444,363,369.19

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Solution

The third proportional to 207,390,957.75 and 444,363,369.19 is: 952,109,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,390,957.75 : 444,363,369.19 = 444,363,369.19 : x
  2. Step 2: Convert to fraction form
    207,390,957.75/444,363,369.19 = 444,363,369.19/x
  3. Step 3: Cross multiply
    207,390,957.75x = 444,363,369.19 × 444,363,369.19
  4. Step 4: Simplify right side
    207,390,957.75x = 197,458,803,875,666,432
  5. Step 5: Solve for x
    x = 197,458,803,875,666,432/207,390,957.75
  6. Step 6: Final answer
    x = 952,109,031.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.