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Finding the Third Proportional to 185,425,334.16 and 386,110,400.06

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Solution

The third proportional to 185,425,334.16 and 386,110,400.06 is: 803,996,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,425,334.16 : 386,110,400.06 = 386,110,400.06 : x
  2. Step 2: Convert to fraction form
    185,425,334.16/386,110,400.06 = 386,110,400.06/x
  3. Step 3: Cross multiply
    185,425,334.16x = 386,110,400.06 × 386,110,400.06
  4. Step 4: Simplify right side
    185,425,334.16x = 149,081,241,036,423,808
  5. Step 5: Solve for x
    x = 149,081,241,036,423,808/185,425,334.16
  6. Step 6: Final answer
    x = 803,996,075.91

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.