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Finding the Third Proportional to 45,437,294 and 97,803,006

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Solution

The third proportional to 45,437,294 and 97,803,006 is: 210,519,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437,294 : 97,803,006 = 97,803,006 : x
  2. Step 2: Convert to fraction form
    45,437,294/97,803,006 = 97,803,006/x
  3. Step 3: Cross multiply
    45,437,294x = 97,803,006 × 97,803,006
  4. Step 4: Simplify right side
    45,437,294x = 9,565,427,982,636,036
  5. Step 5: Solve for x
    x = 9,565,427,982,636,036/45,437,294
  6. Step 6: Final answer
    x = 210,519,314.43

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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.