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Finding the Third Proportional to 170,245,528 and 264,151,072

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Solution

The third proportional to 170,245,528 and 264,151,072 is: 409,853,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,245,528 : 264,151,072 = 264,151,072 : x
  2. Step 2: Convert to fraction form
    170,245,528/264,151,072 = 264,151,072/x
  3. Step 3: Cross multiply
    170,245,528x = 264,151,072 × 264,151,072
  4. Step 4: Simplify right side
    170,245,528x = 69,775,788,838,749,184
  5. Step 5: Solve for x
    x = 69,775,788,838,749,184/170,245,528
  6. Step 6: Final answer
    x = 409,853,871.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.