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Finding the Third Proportional to 97,813,592.09 and 210,949,533.98

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Solution

The third proportional to 97,813,592.09 and 210,949,533.98 is: 454,943,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,813,592.09 : 210,949,533.98 = 210,949,533.98 : x
  2. Step 2: Convert to fraction form
    97,813,592.09/210,949,533.98 = 210,949,533.98/x
  3. Step 3: Cross multiply
    97,813,592.09x = 210,949,533.98 × 210,949,533.98
  4. Step 4: Simplify right side
    97,813,592.09x = 44,499,705,888,227,096
  5. Step 5: Solve for x
    x = 44,499,705,888,227,096/97,813,592.09
  6. Step 6: Final answer
    x = 454,943,990.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.