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Finding the Third Proportional to 93,700,116,352 and 142,745,645,873

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Solution

The third proportional to 93,700,116,352 and 142,745,645,873 is: 217,463,117,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700,116,352 : 142,745,645,873 = 142,745,645,873 : x
  2. Step 2: Convert to fraction form
    93,700,116,352/142,745,645,873 = 142,745,645,873/x
  3. Step 3: Cross multiply
    93,700,116,352x = 142,745,645,873 × 142,745,645,873
  4. Step 4: Simplify right side
    93,700,116,352x = 20,376,319,415,699,923,533,824
  5. Step 5: Solve for x
    x = 20,376,319,415,699,923,533,824/93,700,116,352
  6. Step 6: Final answer
    x = 217,463,117,539.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.