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Finding the Third Proportional to 181,417,598 and 279,226,587

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Solution

The third proportional to 181,417,598 and 279,226,587 is: 429,768,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,417,598 : 279,226,587 = 279,226,587 : x
  2. Step 2: Convert to fraction form
    181,417,598/279,226,587 = 279,226,587/x
  3. Step 3: Cross multiply
    181,417,598x = 279,226,587 × 279,226,587
  4. Step 4: Simplify right side
    181,417,598x = 77,967,486,887,668,576
  5. Step 5: Solve for x
    x = 77,967,486,887,668,576/181,417,598
  6. Step 6: Final answer
    x = 429,768,047.57

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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.