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Finding the Third Proportional to 123,350,904,824 and 166,429,333,468

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Solution

The third proportional to 123,350,904,824 and 166,429,333,468 is: 224,552,248,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,350,904,824 : 166,429,333,468 = 166,429,333,468 : x
  2. Step 2: Convert to fraction form
    123,350,904,824/166,429,333,468 = 166,429,333,468/x
  3. Step 3: Cross multiply
    123,350,904,824x = 166,429,333,468 × 166,429,333,468
  4. Step 4: Simplify right side
    123,350,904,824x = 27,698,723,038,602,744,299,520
  5. Step 5: Solve for x
    x = 27,698,723,038,602,744,299,520/123,350,904,824
  6. Step 6: Final answer
    x = 224,552,248,547.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.