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Finding the Third Proportional to 107,449,636,506 and 229,993,393,216

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Solution

The third proportional to 107,449,636,506 and 229,993,393,216 is: 492,295,391,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449,636,506 : 229,993,393,216 = 229,993,393,216 : x
  2. Step 2: Convert to fraction form
    107,449,636,506/229,993,393,216 = 229,993,393,216/x
  3. Step 3: Cross multiply
    107,449,636,506x = 229,993,393,216 × 229,993,393,216
  4. Step 4: Simplify right side
    107,449,636,506x = 52,896,960,923,009,596,522,496
  5. Step 5: Solve for x
    x = 52,896,960,923,009,596,522,496/107,449,636,506
  6. Step 6: Final answer
    x = 492,295,391,990.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.