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Finding the Third Proportional to 242,769,381.75 and 354,937,325.63

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Solution

The third proportional to 242,769,381.75 and 354,937,325.63 is: 518,930,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,769,381.75 : 354,937,325.63 = 354,937,325.63 : x
  2. Step 2: Convert to fraction form
    242,769,381.75/354,937,325.63 = 354,937,325.63/x
  3. Step 3: Cross multiply
    242,769,381.75x = 354,937,325.63 × 354,937,325.63
  4. Step 4: Simplify right side
    242,769,381.75x = 125,980,505,121,827,280
  5. Step 5: Solve for x
    x = 125,980,505,121,827,280/242,769,381.75
  6. Step 6: Final answer
    x = 518,930,782.02

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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.