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Finding the Third Proportional to 102,563,175 and 158,596,546.50

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Solution

The third proportional to 102,563,175 and 158,596,546.50 is: 245,242,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563,175 : 158,596,546.50 = 158,596,546.50 : x
  2. Step 2: Convert to fraction form
    102,563,175/158,596,546.50 = 158,596,546.50/x
  3. Step 3: Cross multiply
    102,563,175x = 158,596,546.50 × 158,596,546.50
  4. Step 4: Simplify right side
    102,563,175x = 25,152,864,561,726,664
  5. Step 5: Solve for x
    x = 25,152,864,561,726,664/102,563,175
  6. Step 6: Final answer
    x = 245,242,647.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.