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Finding the Third Proportional to 143,316,690 and 292,648,830

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Solution

The third proportional to 143,316,690 and 292,648,830 is: 597,581,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316,690 : 292,648,830 = 292,648,830 : x
  2. Step 2: Convert to fraction form
    143,316,690/292,648,830 = 292,648,830/x
  3. Step 3: Cross multiply
    143,316,690x = 292,648,830 × 292,648,830
  4. Step 4: Simplify right side
    143,316,690x = 85,643,337,700,368,896
  5. Step 5: Solve for x
    x = 85,643,337,700,368,896/143,316,690
  6. Step 6: Final answer
    x = 597,581,047.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.