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Finding the Third Proportional to 172,716,686.50 and 265,341,604.50

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Solution

The third proportional to 172,716,686.50 and 265,341,604.50 is: 407,639,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,716,686.50 : 265,341,604.50 = 265,341,604.50 : x
  2. Step 2: Convert to fraction form
    172,716,686.50/265,341,604.50 = 265,341,604.50/x
  3. Step 3: Cross multiply
    172,716,686.50x = 265,341,604.50 × 265,341,604.50
  4. Step 4: Simplify right side
    172,716,686.50x = 70,406,167,078,634,424
  5. Step 5: Solve for x
    x = 70,406,167,078,634,424/172,716,686.50
  6. Step 6: Final answer
    x = 407,639,635.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.