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Finding the Third Proportional to 239,325,672 and 514,403,316

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Solution

The third proportional to 239,325,672 and 514,403,316 is: 1,105,651,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,325,672 : 514,403,316 = 514,403,316 : x
  2. Step 2: Convert to fraction form
    239,325,672/514,403,316 = 514,403,316/x
  3. Step 3: Cross multiply
    239,325,672x = 514,403,316 × 514,403,316
  4. Step 4: Simplify right side
    239,325,672x = 264,610,771,511,795,840
  5. Step 5: Solve for x
    x = 264,610,771,511,795,840/239,325,672
  6. Step 6: Final answer
    x = 1,105,651,430.12

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Why These Related Problems?

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