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Finding the Third Proportional to 70,537,270.50 and 106,870,023

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Solution

The third proportional to 70,537,270.50 and 106,870,023 is: 161,917,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537,270.50 : 106,870,023 = 106,870,023 : x
  2. Step 2: Convert to fraction form
    70,537,270.50/106,870,023 = 106,870,023/x
  3. Step 3: Cross multiply
    70,537,270.50x = 106,870,023 × 106,870,023
  4. Step 4: Simplify right side
    70,537,270.50x = 11,421,201,816,020,528
  5. Step 5: Solve for x
    x = 11,421,201,816,020,528/70,537,270.50
  6. Step 6: Final answer
    x = 161,917,263.53

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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.