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Finding the Third Proportional to 208,241,143,510.50 and 293,249,417,530.50

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Solution

The third proportional to 208,241,143,510.50 and 293,249,417,530.50 is: 412,959,799,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241,143,510.50 : 293,249,417,530.50 = 293,249,417,530.50 : x
  2. Step 2: Convert to fraction form
    208,241,143,510.50/293,249,417,530.50 = 293,249,417,530.50/x
  3. Step 3: Cross multiply
    208,241,143,510.50x = 293,249,417,530.50 × 293,249,417,530.50
  4. Step 4: Simplify right side
    208,241,143,510.50x = 85,995,220,881,977,517,277,184
  5. Step 5: Solve for x
    x = 85,995,220,881,977,517,277,184/208,241,143,510.50
  6. Step 6: Final answer
    x = 412,959,799,549.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.