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Finding the Third Proportional to 147,102,374,763 and 210,356,646,421.50

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Solution

The third proportional to 147,102,374,763 and 210,356,646,421.50 is: 300,810,362,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,102,374,763 : 210,356,646,421.50 = 210,356,646,421.50 : x
  2. Step 2: Convert to fraction form
    147,102,374,763/210,356,646,421.50 = 210,356,646,421.50/x
  3. Step 3: Cross multiply
    147,102,374,763x = 210,356,646,421.50 × 210,356,646,421.50
  4. Step 4: Simplify right side
    147,102,374,763x = 44,249,918,693,699,972,235,264
  5. Step 5: Solve for x
    x = 44,249,918,693,699,972,235,264/147,102,374,763
  6. Step 6: Final answer
    x = 300,810,362,613.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.