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Finding the Third Proportional to 235,426,203 and 506,832,684

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Solution

The third proportional to 235,426,203 and 506,832,684 is: 1,091,124,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,426,203 : 506,832,684 = 506,832,684 : x
  2. Step 2: Convert to fraction form
    235,426,203/506,832,684 = 506,832,684/x
  3. Step 3: Cross multiply
    235,426,203x = 506,832,684 × 506,832,684
  4. Step 4: Simplify right side
    235,426,203x = 256,879,369,570,643,840
  5. Step 5: Solve for x
    x = 256,879,369,570,643,840/235,426,203
  6. Step 6: Final answer
    x = 1,091,124,803.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.