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Finding the Third Proportional to 97,283,729 and 212,518,358

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Solution

The third proportional to 97,283,729 and 212,518,358 is: 464,250,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,283,729 : 212,518,358 = 212,518,358 : x
  2. Step 2: Convert to fraction form
    97,283,729/212,518,358 = 212,518,358/x
  3. Step 3: Cross multiply
    97,283,729x = 212,518,358 × 212,518,358
  4. Step 4: Simplify right side
    97,283,729x = 45,164,052,487,016,160
  5. Step 5: Solve for x
    x = 45,164,052,487,016,160/97,283,729
  6. Step 6: Final answer
    x = 464,250,835.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.