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Finding the Third Proportional to 70,523,748 and 106,852,206

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Solution

The third proportional to 70,523,748 and 106,852,206 is: 161,894,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523,748 : 106,852,206 = 106,852,206 : x
  2. Step 2: Convert to fraction form
    70,523,748/106,852,206 = 106,852,206/x
  3. Step 3: Cross multiply
    70,523,748x = 106,852,206 × 106,852,206
  4. Step 4: Simplify right side
    70,523,748x = 11,417,393,927,066,436
  5. Step 5: Solve for x
    x = 11,417,393,927,066,436/70,523,748
  6. Step 6: Final answer
    x = 161,894,315.76

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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.