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Finding the Third Proportional to 97,007,356,543 and 212,302,021,491

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Solution

The third proportional to 97,007,356,543 and 212,302,021,491 is: 464,626,085,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,007,356,543 : 212,302,021,491 = 212,302,021,491 : x
  2. Step 2: Convert to fraction form
    97,007,356,543/212,302,021,491 = 212,302,021,491/x
  3. Step 3: Cross multiply
    97,007,356,543x = 212,302,021,491 × 212,302,021,491
  4. Step 4: Simplify right side
    97,007,356,543x = 45,072,148,329,165,026,754,560
  5. Step 5: Solve for x
    x = 45,072,148,329,165,026,754,560/97,007,356,543
  6. Step 6: Final answer
    x = 464,626,085,437.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.