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Finding the Third Proportional to 163,250,970 and 355,199,254.50

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Solution

The third proportional to 163,250,970 and 355,199,254.50 is: 772,837,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,250,970 : 355,199,254.50 = 355,199,254.50 : x
  2. Step 2: Convert to fraction form
    163,250,970/355,199,254.50 = 355,199,254.50/x
  3. Step 3: Cross multiply
    163,250,970x = 355,199,254.50 × 355,199,254.50
  4. Step 4: Simplify right side
    163,250,970x = 126,166,510,397,355,776
  5. Step 5: Solve for x
    x = 126,166,510,397,355,776/163,250,970
  6. Step 6: Final answer
    x = 772,837,738.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.