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Finding the Third Proportional to 245,307,222 and 538,277,536

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Solution

The third proportional to 245,307,222 and 538,277,536 is: 1,181,142,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,307,222 : 538,277,536 = 538,277,536 : x
  2. Step 2: Convert to fraction form
    245,307,222/538,277,536 = 538,277,536/x
  3. Step 3: Cross multiply
    245,307,222x = 538,277,536 × 538,277,536
  4. Step 4: Simplify right side
    245,307,222x = 289,742,705,762,231,296
  5. Step 5: Solve for x
    x = 289,742,705,762,231,296/245,307,222
  6. Step 6: Final answer
    x = 1,181,142,175.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.