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Finding the Third Proportional to 141,013,264.80 and 309,267,018.31

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Solution

The third proportional to 141,013,264.80 and 309,267,018.31 is: 678,277,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013,264.80 : 309,267,018.31 = 309,267,018.31 : x
  2. Step 2: Convert to fraction form
    141,013,264.80/309,267,018.31 = 309,267,018.31/x
  3. Step 3: Cross multiply
    141,013,264.80x = 309,267,018.31 × 309,267,018.31
  4. Step 4: Simplify right side
    141,013,264.80x = 95,646,088,614,240,336
  5. Step 5: Solve for x
    x = 95,646,088,614,240,336/141,013,264.80
  6. Step 6: Final answer
    x = 678,277,244.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.