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Finding the Third Proportional to 139,653,244,292 and 306,344,076,040

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Solution

The third proportional to 139,653,244,292 and 306,344,076,040 is: 671,997,943,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,653,244,292 : 306,344,076,040 = 306,344,076,040 : x
  2. Step 2: Convert to fraction form
    139,653,244,292/306,344,076,040 = 306,344,076,040/x
  3. Step 3: Cross multiply
    139,653,244,292x = 306,344,076,040 × 306,344,076,040
  4. Step 4: Simplify right side
    139,653,244,292x = 93,846,692,924,801,297,678,336
  5. Step 5: Solve for x
    x = 93,846,692,924,801,297,678,336/139,653,244,292
  6. Step 6: Final answer
    x = 671,997,943,195.49

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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.