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Finding the Third Proportional to 205,353,124,520 and 438,967,021,700

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Solution

The third proportional to 205,353,124,520 and 438,967,021,700 is: 938,344,846,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,353,124,520 : 438,967,021,700 = 438,967,021,700 : x
  2. Step 2: Convert to fraction form
    205,353,124,520/438,967,021,700 = 438,967,021,700/x
  3. Step 3: Cross multiply
    205,353,124,520x = 438,967,021,700 × 438,967,021,700
  4. Step 4: Simplify right side
    205,353,124,520x = 192,692,046,140,168,271,298,560
  5. Step 5: Solve for x
    x = 192,692,046,140,168,271,298,560/205,353,124,520
  6. Step 6: Final answer
    x = 938,344,846,666.32

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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.