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Finding the Third Proportional to 142,081,258,416 and 315,929,642,592

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Solution

The third proportional to 142,081,258,416 and 315,929,642,592 is: 702,496,164,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,081,258,416 : 315,929,642,592 = 315,929,642,592 : x
  2. Step 2: Convert to fraction form
    142,081,258,416/315,929,642,592 = 315,929,642,592/x
  3. Step 3: Cross multiply
    142,081,258,416x = 315,929,642,592 × 315,929,642,592
  4. Step 4: Simplify right side
    142,081,258,416x = 99,811,539,068,308,860,960,768
  5. Step 5: Solve for x
    x = 99,811,539,068,308,860,960,768/142,081,258,416
  6. Step 6: Final answer
    x = 702,496,164,385.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.