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Finding the Third Proportional to 97,041,566 and 208,880,435

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Solution

The third proportional to 97,041,566 and 208,880,435 is: 449,611,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,041,566 : 208,880,435 = 208,880,435 : x
  2. Step 2: Convert to fraction form
    97,041,566/208,880,435 = 208,880,435/x
  3. Step 3: Cross multiply
    97,041,566x = 208,880,435 × 208,880,435
  4. Step 4: Simplify right side
    97,041,566x = 43,631,036,125,789,224
  5. Step 5: Solve for x
    x = 43,631,036,125,789,224/97,041,566
  6. Step 6: Final answer
    x = 449,611,830.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.