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Finding the Third Proportional to 302,096,511 and 466,489,849.50

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Solution

The third proportional to 302,096,511 and 466,489,849.50 is: 720,341,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,511 : 466,489,849.50 = 466,489,849.50 : x
  2. Step 2: Convert to fraction form
    302,096,511/466,489,849.50 = 466,489,849.50/x
  3. Step 3: Cross multiply
    302,096,511x = 466,489,849.50 × 466,489,849.50
  4. Step 4: Simplify right side
    302,096,511x = 217,612,779,686,532,640
  5. Step 5: Solve for x
    x = 217,612,779,686,532,640/302,096,511
  6. Step 6: Final answer
    x = 720,341,916.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.