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Finding the Third Proportional to 113,390,865,616.50 and 242,955,389,790

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Solution

The third proportional to 113,390,865,616.50 and 242,955,389,790 is: 520,565,048,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,390,865,616.50 : 242,955,389,790 = 242,955,389,790 : x
  2. Step 2: Convert to fraction form
    113,390,865,616.50/242,955,389,790 = 242,955,389,790/x
  3. Step 3: Cross multiply
    113,390,865,616.50x = 242,955,389,790 × 242,955,389,790
  4. Step 4: Simplify right side
    113,390,865,616.50x = 59,027,321,428,010,833,281,024
  5. Step 5: Solve for x
    x = 59,027,321,428,010,833,281,024/113,390,865,616.50
  6. Step 6: Final answer
    x = 520,565,048,225.73

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