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Finding the Third Proportional to 103,076,803.13 and 220,908,748.50

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Solution

The third proportional to 103,076,803.13 and 220,908,748.50 is: 473,439,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076,803.13 : 220,908,748.50 = 220,908,748.50 : x
  2. Step 2: Convert to fraction form
    103,076,803.13/220,908,748.50 = 220,908,748.50/x
  3. Step 3: Cross multiply
    103,076,803.13x = 220,908,748.50 × 220,908,748.50
  4. Step 4: Simplify right side
    103,076,803.13x = 48,800,675,163,836,256
  5. Step 5: Solve for x
    x = 48,800,675,163,836,256/103,076,803.13
  6. Step 6: Final answer
    x = 473,439,936.87

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