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Finding the Third Proportional to 158,684,106 and 245,207,416.50

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Solution

The third proportional to 158,684,106 and 245,207,416.50 is: 378,907,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,684,106 : 245,207,416.50 = 245,207,416.50 : x
  2. Step 2: Convert to fraction form
    158,684,106/245,207,416.50 = 245,207,416.50/x
  3. Step 3: Cross multiply
    158,684,106x = 245,207,416.50 × 245,207,416.50
  4. Step 4: Simplify right side
    158,684,106x = 60,126,677,106,604,472
  5. Step 5: Solve for x
    x = 60,126,677,106,604,472/158,684,106
  6. Step 6: Final answer
    x = 378,907,999.18

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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.