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Finding the Third Proportional to 103,076,820 and 220,908,775.50

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Solution

The third proportional to 103,076,820 and 220,908,775.50 is: 473,439,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076,820 : 220,908,775.50 = 220,908,775.50 : x
  2. Step 2: Convert to fraction form
    103,076,820/220,908,775.50 = 220,908,775.50/x
  3. Step 3: Cross multiply
    103,076,820x = 220,908,775.50 × 220,908,775.50
  4. Step 4: Simplify right side
    103,076,820x = 48,800,687,092,909,400
  5. Step 5: Solve for x
    x = 48,800,687,092,909,400/103,076,820
  6. Step 6: Final answer
    x = 473,439,975.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.