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Finding the Third Proportional to 123,037,955 and 290,442,854

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Solution

The third proportional to 123,037,955 and 290,442,854 is: 685,618,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,037,955 : 290,442,854 = 290,442,854 : x
  2. Step 2: Convert to fraction form
    123,037,955/290,442,854 = 290,442,854/x
  3. Step 3: Cross multiply
    123,037,955x = 290,442,854 × 290,442,854
  4. Step 4: Simplify right side
    123,037,955x = 84,357,051,439,665,312
  5. Step 5: Solve for x
    x = 84,357,051,439,665,312/123,037,955
  6. Step 6: Final answer
    x = 685,618,120.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.