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Finding the Third Proportional to 122,076,459 and 170,755,828.50

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Solution

The third proportional to 122,076,459 and 170,755,828.50 is: 238,846,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,076,459 : 170,755,828.50 = 170,755,828.50 : x
  2. Step 2: Convert to fraction form
    122,076,459/170,755,828.50 = 170,755,828.50/x
  3. Step 3: Cross multiply
    122,076,459x = 170,755,828.50 × 170,755,828.50
  4. Step 4: Simplify right side
    122,076,459x = 29,157,552,966,721,412
  5. Step 5: Solve for x
    x = 29,157,552,966,721,412/122,076,459
  6. Step 6: Final answer
    x = 238,846,647.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.