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Finding the Third Proportional to 129,623,214.94 and 189,513,671.06

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Solution

The third proportional to 129,623,214.94 and 189,513,671.06 is: 277,075,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,623,214.94 : 189,513,671.06 = 189,513,671.06 : x
  2. Step 2: Convert to fraction form
    129,623,214.94/189,513,671.06 = 189,513,671.06/x
  3. Step 3: Cross multiply
    129,623,214.94x = 189,513,671.06 × 189,513,671.06
  4. Step 4: Simplify right side
    129,623,214.94x = 35,915,431,519,585,448
  5. Step 5: Solve for x
    x = 35,915,431,519,585,448/129,623,214.94
  6. Step 6: Final answer
    x = 277,075,611.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.