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Finding the Third Proportional to 310,785,357.83 and 466,063,918.35

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Solution

The third proportional to 310,785,357.83 and 466,063,918.35 is: 698,924,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785,357.83 : 466,063,918.35 = 466,063,918.35 : x
  2. Step 2: Convert to fraction form
    310,785,357.83/466,063,918.35 = 466,063,918.35/x
  3. Step 3: Cross multiply
    310,785,357.83x = 466,063,918.35 × 466,063,918.35
  4. Step 4: Simplify right side
    310,785,357.83x = 217,215,575,985,574,304
  5. Step 5: Solve for x
    x = 217,215,575,985,574,304/310,785,357.83
  6. Step 6: Final answer
    x = 698,924,741.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.