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Finding the Third Proportional to 100,536,277,590 and 149,932,577,528

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Solution

The third proportional to 100,536,277,590 and 149,932,577,528 is: 223,598,668,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536,277,590 : 149,932,577,528 = 149,932,577,528 : x
  2. Step 2: Convert to fraction form
    100,536,277,590/149,932,577,528 = 149,932,577,528/x
  3. Step 3: Cross multiply
    100,536,277,590x = 149,932,577,528 × 149,932,577,528
  4. Step 4: Simplify right side
    100,536,277,590x = 22,479,777,804,189,729,554,432
  5. Step 5: Solve for x
    x = 22,479,777,804,189,729,554,432/100,536,277,590
  6. Step 6: Final answer
    x = 223,598,668,491.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.