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Finding the Third Proportional to 144,124,559,745 and 309,939,370,095

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Solution

The third proportional to 144,124,559,745 and 309,939,370,095 is: 666,523,549,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,124,559,745 : 309,939,370,095 = 309,939,370,095 : x
  2. Step 2: Convert to fraction form
    144,124,559,745/309,939,370,095 = 309,939,370,095/x
  3. Step 3: Cross multiply
    144,124,559,745x = 309,939,370,095 × 309,939,370,095
  4. Step 4: Simplify right side
    144,124,559,745x = 96,062,413,134,885,386,452,992
  5. Step 5: Solve for x
    x = 96,062,413,134,885,386,452,992/144,124,559,745
  6. Step 6: Final answer
    x = 666,523,549,524.45

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Why These Related Problems?

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