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Finding the Third Proportional to 103,030,368 and 214,521,024

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Solution

The third proportional to 103,030,368 and 214,521,024 is: 446,657,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,030,368 : 214,521,024 = 214,521,024 : x
  2. Step 2: Convert to fraction form
    103,030,368/214,521,024 = 214,521,024/x
  3. Step 3: Cross multiply
    103,030,368x = 214,521,024 × 214,521,024
  4. Step 4: Simplify right side
    103,030,368x = 46,019,269,738,008,576
  5. Step 5: Solve for x
    x = 46,019,269,738,008,576/103,030,368
  6. Step 6: Final answer
    x = 446,657,336.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.