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Finding the Third Proportional to 96,937,570,395.50 and 212,136,054,145

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Solution

The third proportional to 96,937,570,395.50 and 212,136,054,145 is: 464,233,890,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,937,570,395.50 : 212,136,054,145 = 212,136,054,145 : x
  2. Step 2: Convert to fraction form
    96,937,570,395.50/212,136,054,145 = 212,136,054,145/x
  3. Step 3: Cross multiply
    96,937,570,395.50x = 212,136,054,145 × 212,136,054,145
  4. Step 4: Simplify right side
    96,937,570,395.50x = 45,001,705,468,210,370,838,528
  5. Step 5: Solve for x
    x = 45,001,705,468,210,370,838,528/96,937,570,395.50
  6. Step 6: Final answer
    x = 464,233,890,787.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.