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Finding the Third Proportional to 119,642,297 and 259,703,657

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Solution

The third proportional to 119,642,297 and 259,703,657 is: 563,730,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,297 : 259,703,657 = 259,703,657 : x
  2. Step 2: Convert to fraction form
    119,642,297/259,703,657 = 259,703,657/x
  3. Step 3: Cross multiply
    119,642,297x = 259,703,657 × 259,703,657
  4. Step 4: Simplify right side
    119,642,297x = 67,445,989,459,173,648
  5. Step 5: Solve for x
    x = 67,445,989,459,173,648/119,642,297
  6. Step 6: Final answer
    x = 563,730,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.