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Finding the Third Proportional to 144,124,559,513.50 and 309,939,369,634

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Solution

The third proportional to 144,124,559,513.50 and 309,939,369,634 is: 666,523,548,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,124,559,513.50 : 309,939,369,634 = 309,939,369,634 : x
  2. Step 2: Convert to fraction form
    144,124,559,513.50/309,939,369,634 = 309,939,369,634/x
  3. Step 3: Cross multiply
    144,124,559,513.50x = 309,939,369,634 × 309,939,369,634
  4. Step 4: Simplify right side
    144,124,559,513.50x = 96,062,412,849,121,280,917,504
  5. Step 5: Solve for x
    x = 96,062,412,849,121,280,917,504/144,124,559,513.50
  6. Step 6: Final answer
    x = 666,523,548,612.29

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